@article{ 
author = {Lau, Gee-Choon and Shiu, Wai-Chee and Ng, Ho-Kue},  
title = {On Local Antimagic Chromatic Number of Graphs with Cut-vertices}, 
abstract ={An edge labeling of a connected graph G = (V, E) is said to be local antimagic if it is a bijection f:E →{1,... ,|E|} such that for any pair of adjacent vertices x and y, f+(x)≠ f+(y), where the induced vertex label f+(x)= ∑ f(e), with e ranging over all the edges incident to x.  The local antimagic chromatic number of G, denoted by Xla(G), is the minimum number of distinct induced vertex labels over all local antimagic labelings of G. In this paper, the sharp lower bound of the local antimagic chromatic number of a graph with cut-vertices given by pendants is obtained. The exact value of the local antimagic chromatic number of many families of graphs with cut-vertices (possibly given by pendant edges) are also determined. Consequently, we partially answered Problem 3.1 in [Local antimagic vertex coloring of a graph, Graphs and Combin., 33, (2017),  275--285].},  
Keywords = {Local antimagic labeling, Local antimagic chromatic number, Cut-vertices, Pendants.},
volume = {19},
Number = {1}, 
pages = {1-17}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.1},
url = {http://ijmsi.ir/article-1-1726-en.html},  
eprint = {http://ijmsi.ir/article-1-1726-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Gabeleh, Moosa and Karimi, Lotfollah and Vetro, Calogero},  
title = {Monotone Orbitally Nonexpansive and Cyclic Mappings in Partially Ordered Uniformly Convex Banach Spaces}, 
abstract ={In the setting of uniformly convex Banach spaces equipped with a partially ordered relation, we survey the existence of fixed points for monotone orbitally nonexpansive mappings. In this way, we extend and improve the main results of Alfuraidan and Khamsi [M. R. Alfuraidan, M. A. Khamsi, Proc. Amer. Math. Soc., 146, (2018), 2451-2456]. Examples are given to show the usability of our main conclusions. We also study the existence of an optimal solution for cyclic contractions in such spaces.},  
Keywords = {Best proximity point, T -cyclic contraction, Monotone orbitally nonexpansive mapping, Uniformly convex Banach space.},
volume = {19},
Number = {1}, 
pages = {19-33}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.19},
url = {http://ijmsi.ir/article-1-1729-en.html},  
eprint = {http://ijmsi.ir/article-1-1729-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {BaydarYarbil, Nihan and Argaç, Nurc},  
title = {Annihilators of Power Central Values of Generalized Skew Derivations on Lie Ideals}, 
abstract ={Let R be a prime ring with center Z(R) and G be a generalized α-derivation of R for  α∈ Aut(R). Let a ∈ R be a nonzero element and n be a fixed positive integer. (i) If aG(x)n ∈ Z(R) for all x ∈ R then aG(x) = 0 for all x ∈ R unless dimCRC = 4. (ii) If aG(x)n ∈ Z(R) for all x ∈ L, where L is a noncommutative Lie ideal of R then aG(x) = 0 for all x ∈ R unless dimCRC = 4.},  
Keywords = {Prime ring, Lie ideal, Generalized skew derivation, Generalized derivation, Automorphism, Right Martindale quotient ring, Two-sided Martindale quotient ring, Generalized polynomial identity},
volume = {19},
Number = {1}, 
pages = {35-49}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.35},
url = {http://ijmsi.ir/article-1-1700-en.html},  
eprint = {http://ijmsi.ir/article-1-1700-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Jamali, Saei},  
title = {Tracial Cyclic Rokhlin Property for Automorphisms of Non-unital Simple C*-algebras}, 
abstract ={The tracial cyclic Rokhlin property for automorphisms of simple not necessarily unital C*-algebras is investigated. We show that the tracial cyclic Rokhlin property is preserved by going to certain restrictions to subalgebras and taking direct limit or tensor products of actions. We also show that under certain conditions properties such as real rank zero, the tracial rank zero, stable rank one, (tracial) Z-stability, Property (SP), strict comparison on projections are passed to crossed products under automorphisms with the tracial cyclic Rokhlin property.},  
Keywords = {Tracial cyclic Rokhlin property, Crossed product, Tracial rank, Property $(mathrm{T}_{k})$.},
volume = {19},
Number = {1}, 
pages = {51-62}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.51},
url = {http://ijmsi.ir/article-1-1372-en.html},  
eprint = {http://ijmsi.ir/article-1-1372-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Bravo, Eric F. and Bravo, Jhon J.},  
title = {Repdigits as Products of Consecutive Pell or Pell–Lucas Numbers}, 
abstract ={A positive integer is called a repdigit if it has only one distinct digit in its decimal expansion. In this paper, we find all repdigits that are products of consecutive Pell or Pell–Lucas numbers. This paper continues previous work which dealt with finding occurrences of repdigits in the Pell and Pell–Lucas sequences. p, li { white-space: pre-wrap; }},  
Keywords = {Pell and Pell–Lucas number, Repdigit, Linear form in logarithms, Reduction method.},
volume = {19},
Number = {1}, 
pages = {63-70}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.63},
url = {http://ijmsi.ir/article-1-1746-en.html},  
eprint = {http://ijmsi.ir/article-1-1746-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Tabassum, Sabiha and Fatma, Ruqaiyy},  
title = {A Study of Metric Spaces of Interval Numbers in n-Sequences Defined by Orlicz Function}, 
abstract ={In recent years, a variety of work has been done in the field of single, double and triple sequences. Study on n-tuple sequence is new in this field. The main interest of this paper is to explore the idea of n-tuple sequences x = (xi_1,i_2,...,i_n) in metric spaces. We introduce the concept of n-sequence space of interval number and discussed its arithmetic properties. Furthermore, we combined the concept of Orlicz function, statistical convergence, interval number and n-sequence to construct some new nsequence spaces and discussed their properties. Some suitable examples for these spaces have been constructed.},  
Keywords = {n-sequence, Statistical convergence, Interval number, Orlicz function.},
volume = {19},
Number = {1}, 
pages = {71-83}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.71},
url = {http://ijmsi.ir/article-1-1717-en.html},  
eprint = {http://ijmsi.ir/article-1-1717-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Boonpok, Chawalit},  
title = {Unification of Generalized Open Sets with Respect to an Ideal}, 
abstract ={This paper deals with the concepts of Iµ-g-closed sets, Iµ-semi-open sets and Iµ-semi-preopen sets in ideal topological spaces and investigate several properties of these sets. Some characterizations of Iµ -regular spaces and Iµ-normal spaces are discussed.},  
Keywords = {$mathscr{I}_mu$-g-closed set, $mathscr{I}_mu$-semi-open set, $mathscr{I}_mu$-semi-preopen set, $mathscr{I}_mu$-normal space, $mathscr{I}_mu$-regular space.},
volume = {19},
Number = {1}, 
pages = {85-93}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.85},
url = {http://ijmsi.ir/article-1-1723-en.html},  
eprint = {http://ijmsi.ir/article-1-1723-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Khoshtarash, Raheleh and RajabzadehMoghaddam, Mohammad Reza and Rostamyari, Mohammad Ami},  
title = {Finite Groups with Specific Number of 2-Engelizers}, 
abstract ={In 2016, the second and third authors introduced the notion of 2-Engelizer of the element x in a given group G and denoted the set of all 2-Engelizers in G by E2(G). They also constructed the possible values of |E2(G)| [Bull. Korean Math. Soc., 53(3), (2016), 657-665]. In the present paper, we classify all non 2-Engel finite groups G, when |E2(G)| = 4, 5.},  
Keywords = {2-Engelizer subgroup, 2-Engel element, 2-Engel group.},
volume = {19},
Number = {1}, 
pages = {95-105}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.95},
url = {http://ijmsi.ir/article-1-1691-en.html},  
eprint = {http://ijmsi.ir/article-1-1691-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Boulmane, Sai},  
title = {New Characterizations of Semisimple Alternative Algebras}, 
abstract ={We give some new characterizations of semisimple alternative algebras among the pseudo-Euclidean alternative algebras. These charcterizations are based on the index of a pseudo Euclidean alternative algebra, operators of Casimir type and representations of alternative algebras.},  
Keywords = {Pseudo-Euclidean alternative algebras, Semisimple alternative algebras, Index of pseudo Euclidean alternative algebras, Operators of Casimir type, Representations of alternative algebras.},
volume = {19},
Number = {1}, 
pages = {107-115}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.107},
url = {http://ijmsi.ir/article-1-1704-en.html},  
eprint = {http://ijmsi.ir/article-1-1704-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {DehghaniDarmain, Mahdi and Hashemi, Amir},  
title = {A Parametric $ F_4 $ Algorithm}, 
abstract ={In this paper, we present a parametric F4 algorithm (socalled PF4) which can be considered as a generalization of Faugére’s F4 algorithm [8] to polynomial ideals with parametric coefficients. Our approach is based on the F4 algorithm, Montes DisPGB algorithm [21] and the parametric linear algebra method developed in [6]. The PF4 algorithm takes as input a parametric polynomial ideal and two monomial orderings on the variables and the parameters and returns a Gröbner system of the ideal with respect to a compatible elimination product of the given monomial orderings. We have implemented our new algorithm in Maple and give timings to compare its performance with those of (our implementation) of the Kapur et al. algorithm [16] and the DisPGB algorithm [21].},  
Keywords = {Gröbner bases, Gröbner systems, F4 algorithm, PF4 algorithm, PGBMain algorithm, DisPGB algorithm.},
volume = {19},
Number = {1}, 
pages = {117-133}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.117},
url = {http://ijmsi.ir/article-1-1718-en.html},  
eprint = {http://ijmsi.ir/article-1-1718-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Ullah, Kifayat and Abbas, Mujahid and Ahmad, Junaid and Ahmad, Fayyaz},  
title = {Approximating Fixed Points of Operators Satisfying the ($B_{gamma,mu}$) Condition}, 
abstract ={Suppose C is any nonempty subset of a Banach space X. A mapping T : C → C is said to satisfy condition (Bγ,µ) if there exists γ ∈ [0, 1] and µ ∈ [0, 1 /2 ] with 2µ ≤ γ such that for each two elements x, y ∈ C, γ||x - T x|| ≤ ||x - y|| + µ||y - T y|| implies ||T x - T y|| ≤ (1 - γ)||x - y|| + µ(||x - T y|| + ||y - T x||). In this research, we suggest some convergence results for these mappings under a up-to-date iterative process in a Banach space setting. Our results are new and improve some known results of the literature.},  
Keywords = {Condition $(B_{gamma,mu})$,  Condition (I),  Convergence result,  K*  iteration, Banach space.},
volume = {19},
Number = {1}, 
pages = {135-148}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.135},
url = {http://ijmsi.ir/article-1-1714-en.html},  
eprint = {http://ijmsi.ir/article-1-1714-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Babu, P Shanas and AV, Chithr},  
title = {A Note on Acyclic Coloring of Strong Product of Graphs}, 
abstract ={A vertex coloring of a graph G is called acyclic if no two adjacent vertices have the same color and no cycle in G is bichromatic. The acyclic chromatic number a(G) of a graph G is the least number of colors in an acyclic coloring of G. In this paper, we obtain bound for the acyclic chromatic number of the strong product of a tree and a graph. An exact value for the acyclic chromatic number of the strong product of two trees is derived. Further observations are made on the upper bound for the strong product of three paths.},  
Keywords = {Strong product of graphs, Acyclic coloring, Acyclic chromatic number.},
volume = {19},
Number = {1}, 
pages = {149-160}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.149},
url = {http://ijmsi.ir/article-1-1743-en.html},  
eprint = {http://ijmsi.ir/article-1-1743-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Pathak, Ashish and Kumar, Dileep},  
title = {Multiresolution Analysis on Sobolev Space over Local Fields of Positive Characteristic and Characterization of Scaling Function}, 
abstract ={A general concept of wavelets and multiresolution analysis on Sobolev space over local fields of positive characteristic (Hs(K)) is given. A characterization of the scaling functions associated with an MRA is also given.},  
Keywords = {Wavelets, Multiresolution analysis, Local fields, Sobolev space, Fourier transform.},
volume = {19},
Number = {1}, 
pages = {161-174}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.161},
url = {http://ijmsi.ir/article-1-1443-en.html},  
eprint = {http://ijmsi.ir/article-1-1443-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Patle, Pradip Ramesh and Patel, Deepesh Kumar},  
title = {Darbo Type Best Proximity Point Results via R-function using Measure of Noncompactness with an Application}, 
abstract ={The concept of measure of noncompactness (MNC) allows us to select an important class of mappings which are more general than compact operators. The proposed work exploits the axiomatic definitio of MNC and introduces the notion of relatively nonexpansive cyclic (noncyclic) SR-condensing operators along with the aid of SR-functions. The first phase of the paper concentrates on establishing the best proximity point (pair) theorems for such operators. The main results in this manuscript extend and generalize several state of art literature on Darbo type fixed point results. In the second phase, proposed results are applied to show the actuality of optimum solutions for system of second order differential equations with two initial conditions.},  
Keywords = {Darbo fixed point theorem, Best proximity point, Measure of noncompactness, R-function.},
volume = {19},
Number = {1}, 
pages = {175-192}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.175},
url = {http://ijmsi.ir/article-1-1750-en.html},  
eprint = {http://ijmsi.ir/article-1-1750-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Baglan, Irem and Kanca, Fatma and Mishra, Vishnu Narayan Mishr},  
title = {Fourier Method For an Existence of Quasilinear Inverse Pseudo-Parabolic Equation}, 
abstract ={In this work, the inverse quasi-linear pseudo-parabolic problem was investigated. We demonstrated the solution by the Fourier approximation. The inverse problem was first examined by linearizing and then used implicit finite difference schema for the numerical solution.},  
Keywords = {Pseudo-parabolic problem, Fourier method, Nonlocal(periodic) boundary condition, Implicit method.},
volume = {19},
Number = {1}, 
pages = {193-209}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.193},
url = {http://ijmsi.ir/article-1-1757-en.html},  
eprint = {http://ijmsi.ir/article-1-1757-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {Lahoussine, Lafhim},  
title = {First and Second Order Optimality Conditions using Approximations for Fractional Multiobjective Bilevel Problems under Fractional Constraints}, 
abstract ={In this paper, first and second order optimality conditions using the concept of approximations are developed for an optimistic fractional multiobjective bilevel problem with non-convex lower level problem. Our idea is based on using the properties of approximations in nonsmooth analysis and a separation theorem in convex analysis. All over the article, the data is assumed to be continuous but not necessarily Lipschitz.},  
Keywords = {Fractional Bilevel programming, Optimal value function, Second order approximation, Optimality conditions, Multiobjective optimization.},
volume = {19},
Number = {1}, 
pages = {211-232}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.61186/ijmsi.19.1.211},
url = {http://ijmsi.ir/article-1-1758-en.html},  
eprint = {http://ijmsi.ir/article-1-1758-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}

@article{ 
author = {inthisVolume, The Name of Authors},  
title = {ABSTRACTS IN PERSIAN Vol. 19, No. 1}, 
abstract ={Please see the full text contains the Persian abstracts of this volume.},  
Keywords = {ABSTRACTS, PERSIAN, Vol. 19, No. 1.},
volume = {19},
Number = {1}, 
pages = {233-249}, 
publisher = {ACECR at Tarbiat Modares University},
url = {http://ijmsi.ir/article-1-2647-en.html},  
eprint = {http://ijmsi.ir/article-1-2647-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2024}  
}