ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 On Hybrid Ideals and Hybrid Bi-ideals in Semigroups 1 10 EN Balasubramanian Elavarasan Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore - 641 114, India Young Bae Jun Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea In this paper, we introduce the notion of hybrid bi-ideals in semigroups and investigate some of their important properties. We also give various equivalent conditions for a semigroup to be regular and hybrid structures to be hybrid bi-ideals of S.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 Common Best Proximity Points for Proximal Weak Commuting Mappings in Metric Spaces 11 23 EN R. Gopi Department of Mathematics, School of Engineering, Presidency University, Bengaluru 560064, Karnataka, India V. Pragadeeswarar Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India In this paper, we initiate the concept of proximal weak commute mappings and establish some new existence of common best proximity point theorems for this class of mappings. Also, we provide interesting example to illustrate our main results.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 Some Classes of Weakly Prime Center Rings 25 30 EN Hamid Reza Dorbidi Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft 78671-61167, Iran Let R be a ring. The ring R is called weakly prime center(WPC ring) if ab∈Z(R) implies that aRb is an ideal of R. In this paper, we prove that every left(right) duo ring is a WPC ring. Also we prove that some classes of rings with nilpotent Jacobson radical are WPC rings. Finally, we prove that a simple ring is a WPC ring if and only if it is a domain.  

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 Projectively Flat Finsler Spaces with Transformed Metrics 31 50 EN Gauree Shanker Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, Bathinda, Punjab-151 401, India Sarita Rani Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, Bathinda, Punjab-151 401, India Kirandeep Kaur Department of Mathematics and Statistics, School of Basic Sciences, Central University of Punjab, Bathinda, Punjab-151 401, India In this paper, we consider some special Finsler spaces obtained via Randers-β change. First, we find the fundamental metric tensor and Cartan tensor of these metrics. Next, we establish a general formula for the inverse tensor of fundamental metric tensors of these metrics. Finally, we find the necessary and sufficient conditions under which these metrics are projectively flat, and we give examples to support our results.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 On A Class of Soc-Injective Modules 51 65 EN Akeel Ramadan Mehdi Department of Mathematics, College of Education, University of Al-Qadisiyah, Al-Diwaniyah City, Iraq Let R be a ring. The class of SA-injective right R-modules (SAIR) is introduced as a class of soc-injective right R-modules. Let N be a right R-module. A right R-module M is said to be SA-N-injective if every R-homomorphism from a semi-artinian submodule of N into M extends to N. A module M is called SA- njective, if M is SA-R-injective. We characterize rings over which every right module is SA-injective. Conditions under which the class SAIR is closed under uotient (resp. directsums, pure homomorphic images) are given. The definability of the class SAIR is studied. Finally, relations between SA-injectivity and certain generalizations of injectivity are given.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 Common Fixed Points Via R-Functions and Digraphs with an Application to Homotopy Theory 67 94 EN Sushanta Kumar Mohanta Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India Ratul Kar Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India The basic purpose of this article is to introduce the concept of R - λ - G-contraction by using R-functions, lower semi-continuous functions and digraphs and discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying such contractions in the setting of metric spaces endowed with a graph. As some consequences of our results, we obtain several recent results in metric spaces and partial metric spaces.  

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 A Bioinformatics Analysis of Plant Caleosins 95 105 EN Fatemeh Saadat Biotechnology Department, College of Agriculture and Natural Resources, University of Tehran, Iran Houshang Alizadeh Department of Agronomy and Plant Breeding, University of Tehran, Iran Seyed Hadi Razavi Department of Food Science and Technology, College of Agriculture and Natural Resources, University of Tehran, Iran Introducing oil bodies to the industry provided an impetus to know more about the constructive factors. Accordingly, the current article focused on the description of the plant seed caleosins involved in oil body formation. For this purpose, bioinformatics analysis was conducted to identify the putative caleosins. Then, the phylogenetic tree and conserved motifs were extracted from the sequences. Finally, a model sequence was created by WebLogo to indicate all features including secondary structure, post-translational modifications and physicochemical properties. According to the results, the N-terminal region of caleosins owned more length and negative charges. Although the net charge and length of domains have changed over evolutionary time, the members of Brassicaceae had been highly conserved even in the motif sequences. Considering the importance of these two factors in the construction of the oil body, natural selection has probably shaped more stable droplets for lipid storage. However, its confirmation requires more investigation.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 Cordial Labeling of Corona Product between Paths and Fourth Power of Paths 107 115 EN S. Nada Department of Mathematics, Faculty of Science, Menoyfia University, Egypt A. Elrokh Department of Mathematics, Faculty of Science, Menoyfia University, Egypt A. Elrayes Institute of National Planning, Cairo, Egypt A. Rabie Institute of National Planning, Cairo, Egypt A simple graph is said to be cordial if it admits 0-1 labeling that satisfies certain conditions. In this paper we investigate necessary and sufficient conditions for cordial labeling of the corona product between paths and fourth power of paths be cordial.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 Roman {2}-domination in Graphs and Graph Products 117 126 EN F. Alizadeh Mathematics Section, Department of Basic Sciences, Shahid Rajaee Teacher Training University, P.O. Box 16785-163, Tehran, Iran H. R. Maimani Mathematics Section, Department of Basic Sciences, Shahid Rajaee Teacher Training University, P.O. Box 16785-163, Tehran, Iran L. Parsaei Majd Mathematics Section, Department of Basic Sciences, Shahid Rajaee Teacher Training University, P.O. Box 16785-163, Tehran, Iran M. Rajabi Parsa Mathematics Section, Department of Basic Sciences, Shahid Rajaee Teacher Training University, P.O. Box 16785-163, Tehran, Iran For a graph G=(V, E) of order n, a Roman {2}-dominating function f: V→E has the property that for every vertex v in V with f(v)=0, either v is adjacent to a vertex assigned 2 under f, or v is adjacent to least two vertices assigned 1 under f. In this paper, we classify all graphs with Roman {2}-domination number belonging to the set {2, 3, 4, n-2, n-1, n}. Furthermore, we obtain some results about Roman {2}-domination number of some graph operations.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 On Some Differential Inequalities for Certain Analytic Functions 127 137 EN M. P. Jeyaraman L. N. Government College, Ponneri, Chennai 601 204, TamilNadu, India V. Agnes Sagaya Judy Lavanya UniversDr MGR Janaki College of Arts and Science for Women, R A Puram, Chennai 600 028, TamilNadu, Indiaity of Madras H. Aaisha Farzana A.M. Jain College, Meenambakkam Chennai 600 114, TamilNadu, India The purpose of the paper is to derive some interesting implications associated with some differential inequalities, for certain analytic functions in the open unit disk. Connections to previously well known results are also established.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 2-Irreducible and Strongly 2-Irreducible Submodules of a Module 139 151 EN F. Farshadifar Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran H. Ansari-Toroghy Department of Pure Mathematics, Faculty of Mathematical Sciences University of Guilan, Rasht, Iran Let R be a commutative ring with identity and M be an R-module. In this paper, we will introduce the concept of 2-irreducible (resp., strongly 2-irreducible) submodules of M as a generalization of irreducible (resp., strongly irreducible) submodules of M and investigated some properties of these classes of modules.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 Difference Labeling and Decomposition 153 168 EN H. Shanmuga Priya Department of Mathematics, Fatima College, Madurai - 18, India A. Anitha Department of Mathematics, Thiagarajar College of Engineering, Madurai - 15, India I. Sahul Hamid Department of Mathematics, The Madura College, Madurai - 11, India A difference labeling of a graph G is an injective function f : V (G) → N ∪ {0} together with the weight function f∗ on E(G) given by f∗(uv) = |f(u) - f(v)| for every edge uv in G. The collection of subgraphs induced by the edges of the same weight is a decomposition of G and is called the common weight decomposition of G induced by f. Let ϒf denote the collection of all the paths taken from each member of the common weight decomposition induced by f. A difference labeling f of G is said to be a graphoidal difference labeling if ϒf is an acyclic graphoidal decomposition of G. This paper initiates a study on this concepts.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 K-G-Frames and G-Atomic Systems in Hilbert Pro-C*-Modules 169 183 EN Akbar Nazari Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran Zahra Ahmadi Moosavi Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran In this paper, the concept of K-g-frames in Hilbert pro-C∗-modules is introduced, and their basic properties are examined. The conditions under which family of operators can form a K-g-frame on Hilbert pro-C∗-modules are derived. Moreover g-atomic systems in Hilbert proC∗-modules are introduced and their properties are examined.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 Embedding Wheel - like Networks 185 198 EN R. Sundara Rajan Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India, 603 103 T. M. Rajalaxmi Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India, 603 110 Sudeep Stephen Department of Mathematics, University of Auckland, New Zealand, 1010 A. Arul Shantrinal Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India, 603 103 K. Jagadeesh Kumar Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India, 603 103 One of the important features of an interconnection network is its ability to efficiently simulate programs or parallel algorithms written for other architectures. Such a simulation problem can be mathematically formulated as a graph embedding problem. In this paper we compute the lower bound for dilation and congestion of embedding onto wheel-like networks. Further, we compute the exact dilation of embedding wheellike networks into hypertrees, proving that the lower bound obtained is sharp. Again, we compute the exact congestion of embedding windmill graphs into circulant graphs, proving that the lower bound obtained is sharp. Further, we compute the exact wirelength of embedding wheels and fans into 1,2-fault hamiltonian graphs. Using this we estimate the exact wirelength of embedding wheels and fans into circulant graphs, generalized Petersen graphs, augmented cubes, crossed cubes, Möbius cubes, twisted cubes, twisted n-cubes, locally twisted cubes, generalized twisted cubes, odd-dimensional cube connected cycle, hierarchical cubic networks, alternating group graphs, arrangement graphs, 3-regular planer hamiltonian graphs, star graphs, generalised matching networks, fully connected cubic networks, tori and 1-fault traceable graphs.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 New Subclass of Close-to-convex Functions Associated with the Vertical Strip Domains 199 210 EN Hesam Mahzoon Department of Mathematics, Islamic Azad University, West Tehran Branch, Tehran, Iran Janusz Sokól Faculty of Mathematics and Natural Sciences with College of Natural Sciences, University of Rzeszów, ul. Prof. Pigonia 1, 35-310 Rzesz´ow, Poland In the present paper, we introduce the class Βθ(α,β) consisting of functions f, analytic in the unit disc ∆, normalized by the condition f(0)=0=f'(0)-1 and satisfying the following two-sided inequality α< Re{f'(z)+(1+eiθ)/2 zf''(z)}<β     (z∈∆), where θ∊(-π,π], 0<α<1 and β>1. Integral representation, differential subordination results, coefficient estimates and Fekete-Szegö coefficient functional associated with the k-th (k≥1) root transform [f(zk)]1/k for functions in the class Βθ(α,β), are determined.<betaquad</betaquad

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 Probability and Measurable Spaces on Modules Category 211 224 EN Reza Sazeedeh Department of Mathematics, Urmia University, P.O.Box: 165, Urmia, Iran Fatemeh Savoji Department of Mathematics, Urmia University, P.O.Box: 165, Urmia, Iran Gholamhossein Gholami Department of Mathematics, Urmia University, P.O.Box: 165, Urmia, Iran In this paper we show that the category of measurable spaces is closed under coproducts in the category of sets. For an arbitrary ring R, we define measurable and probability right R-modules and we prove that the categories of these new objects are closed under kernels, cokernels and pushouts in the category of right R-modules. We also show that the category of measurable right R-modules is closed under coproducts and products in the category of right R-modules. We end this paper by giving some results about stochastically independence in the category of probability right R-modules.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 18 2 2023 10 1 ABSTRACTS IN PERSIAN Vol. 18, No. 2 225 241 EN The Name of Authors in this Volume Academic Center for Education, Culture and Research (ACECR) Please see the full text contains the Persian abstracts of this volume.