1
1735-4463
ACECR at Tarbiat Modares University
565
General
Deterministic Fuzzy Automaton on Subclasses of Fuzzy Regular ω-Languages
Arulprakasam
R.
^{
b
}
Dare
V. R.
^{
c
}
Gnanasekara
S.
^{
d
}
^{
b
}SRM University
^{
c
}Madras Christian College,
^{
d
}Periyar Arts College, Cuddalore-607 001, Tamil nadu, India
1
4
2019
14
1
1
11
28
03
2014
03
09
2018
In formal language theory, we are mainly interested in the natural language computational aspects of ω-languages. Therefore in this respect it is convenient to consider fuzzy ω-languages. In this paper, we introduce two subclasses of fuzzy regular ω-languages called fuzzy n-local ω-languages and Buchi fuzzy n-local ω-languages, and give some closure properties for those subclasses. We define a deterministic fuzzy automaton acceptance conditions on fuzzy ω-languages and fuzzy n-local automaton. The relationship between deterministic fuzzy n-local automaton and two subclasses of fuzzy regular ω-languages are established and proved that every fuzzy ω-language accepted by a deterministic fuzzy automaton in 2-mode is a projection of a Buchi fuzzy 2-local ω-language.
652
General
Best Coapproximation in Quotient Spaces
Gupta
S.
^{
e
}
Narang
T.
^{
f
}
^{
e
}Guru Nanak Dev University
^{
f
}Guru Nanak Dev University
1
4
2019
14
1
13
20
26
11
2014
02
10
2018
As a counterpart to best approximation, a new kind of approximation, called best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi. In this paper, we use this coapproximation to prove some results on the existence and uniqueness of best coapproximation in quotient spaces when the underlying spaces are metric linear spaces. We shall also see how coproximinality can be transmitted to and from quotient spaces.
849
General
Isotropic Constant Dimension Subspace Codes
Bardestani
F.
^{
g
}
Adhami
S. R.
^{
h
}
^{
g
}Mathematics and Informatics Research Group, ACECR at Tarbiat Modares University
^{
h
}Faculty of Mathematical Sciences, Tarbiat Modares University
1
4
2019
14
1
21
34
06
02
2016
25
01
2017
In network code setting, a constant dimension code is a set of k-dimensional subspaces of F nq . If F_q n is a nondegenerated symlectic vector space with bilinear form f, an isotropic subspace U of F^n_q is a subspace that for all x, y ∈ U, f(x, y) = 0. We introduce isotropic subspace codes simply as a set of isotropic subspaces and show how the isotropic property use in decoding process, then we show that for suitable parameters there are isotropic spread codes.
881
Special
Domination and Signed Domination Number of Cayley Graphs
Ramezani
F.
^{
i
}
Vatandoost
E.
^{
j
}
^{
i
}Imam Khomeini International University
^{
j
}Imam Khomeini International University
1
4
2019
14
1
35
42
20
04
2016
18
01
2017
In this paper, we investigate domination number as well as signed domination numbers of Cay(G : S) for all cyclic group G of order n, where n in {p^m; pq} and S = { a^i : i in B(1; n)}. We also introduce some families of connected regular graphs gamma such that gamma_S(Gamma) in {2,3,4,5 }.
882
General
A Modified Degenerate Kernel Method for the System of Fredholm Integral Equations of the Second Kind
Molabahrami
A.
^{
k
}
^{
k
}Ilam University
1
4
2019
14
1
43
53
24
04
2016
20
02
2017
In this paper, the system of Fredholm integral equations of the second kind is investigated by using a modified degenerate kernel method (MDKM). To construct a MDKM the source function is approximated by the same way of producing degenerate kernel. The interpolation is used to make the needed approximations. Lagrange polynomials are adopted for the interpolation. The equivalency of proposed method and Lagrange-collocation method is shown. The error and convergence of the algorithm are given strictly. The efficiency of the approach will be shown by applying the procedure on some prototype examples.
896
Special
z_R-Ideals and z^0_R-Ideals in Subrings of R^X
Rezaei Aliabad
A.
^{
l
}
parsinia
M.
^{
m
}
^{
l
}Shahid Chamran University of Ahvaz
^{
m
}Shahid Chamran University of Ahvaz
1
4
2019
14
1
55
67
12
05
2016
16
01
2017
Let X be a topological space and R be a subring of RX. By determining some special topologies on X associated with
the subring R, characterizations of maximal fixxed and maximal growing ideals in R of the form Mx(R) are given. Moreover, the
classes of zR-ideals and z0R-ideals are introduced in R which are topological generalizations of z-ideals and z0-ideals of C(X), respectively. Various characterizations of these ideals are established, also, coincidence of zR-ideals with z-ideals and zR-ideals with z-ideals in R are investigated. It turns out that some fundamental statements in the context of C(X) are extended to the subrings of RX
908
Special
On the Lie-Santilli Admissibility
Mahjoob
R.
^{
n
}
Vougioklis
T.
^{
o
}
^{
n
}Department of Mathematics, Semnan University, Semnan, Iran
^{
o
}Democritus University of Thrace, School of Education,681 00 Alexandroupolis, Greece
1
4
2019
14
1
69
79
06
06
2016
22
11
2017
The largest class of hyperstructures is the one which satisfies the
weak properties. We connect the theory of P-hopes, a large class of
hyperoperations, with the Lie-Santilli admissibility used in
Hardonic Mechanics. This can be achieved by a kind of Ree,
sandwich hyperoperation.
944
Special
Computation of Minimum Hamming Weight for Linear Codes
Rostami
E.
^{
p
}
Nekooei
R.
^{
}
^{
p
}Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman
^{
}Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman
1
4
2019
14
1
81
93
13
08
2016
17
01
2018
In this paper, we consider the minimum Hamming weight for linear codes over special finite quasi-Frobenius rings. Furthermore, we obtain minimal free $R$-submodules of a finite quasi-Frobenius ring $R$ which contain a linear code and derive the relation between their minimum Hamming weights. Finally, we suggest an algorithm that computes this weight using the Grobner basis and we show that under certain conditions a linear code takes the maximum of minimum Hamming weight.
936
Special
Renormalized Solutions for Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces
El Moumni
M.
^{
}
^{
}Department of Mathematics, Faculty of Sciences El Jadida, University Chouaib Doukkali
1
4
2019
14
1
95
119
30
07
2016
20
08
2017
The purpose of this paper is to prove the existence of a renormalized solution of perturbed elliptic problems$
-operatorname{div}Big(a(x,u,nabla u)+Phi(u) Big)+ g(x,u,nabla u) = mumbox{ in }Omega,
$ in the framework of Orlicz-Sobolev spaces without any restriction on the $M$ N-function of the Orlicz
spaces, where $-operatorname{div}Big(a(x,u,nabla u)Big)$ is a Leray-Lions operator defined from $W^{1}_{0}L_{M}(Omega)$ into its dual,
$Phi in C^{0}(mathbb{R},mathbb{R}^{N})$. The function $g(x,u,nabla u)$ is a non linear lower
order term with natural growth with respect to $|nabla u|$, satisfying the sign condition and the
datum $mu$ is assumed belong to $L^1(Omega)+W^{-1}E_{overline{M}}(Omega)$.
945
Special
On the 2-Adjointable Operators and Superstability of Them
Between 2-Pre Hilbert $C^*$-module Spaces
Ramezani
M.
^{
}
Baghani
H.
^{
}
^{
}University of Bojnord
^{
}University of Sistan and Baluchestan
1
4
2019
14
1
121
126
13
08
2016
27
09
2017
In this paper, first, we
introduce the new concept of 2-inner product on Banach modules over
a $C^*$-algebra. Next, we present the concept of 2-linear operators
over a $C^*$-algebra. Our result improve the main result of the
paper Z. Lewandowska. In the final of this paper, we
define the notions 2-adjointable mappings between 2-pre Hilbert
C*-modules and prove supperstability of them in the spirit of
Hyers-Ulam-Rassias.
946
Special
Linear Resolutions of Powers of Generalized Mixed Product Ideals
Tehranian
A.
^{
}
Moghimipor
R.
^{
}
^{
}Department of mathematics, Science and Research branch, Islamic azad university, Tehran Iran
^{
}Department of mathematics, Science and Research branch, Islamic azad university, Tehran Iran
1
4
2019
14
1
127
134
13
08
2016
06
02
2017
Let L be the generalized mixed product ideal induced by a monomial ideal I. In this paper we compute powers of the genearlized mixed product ideals and show that Lk have a linear resolution if and only if Ik have a linear resolution for all k. We also introduce the generalized mixed polymatroidal ideals and prove that powers and monomial localizations of a generalized mixed polymatroidal ideal is again generalized mixed polymatroidal ideal.
954
Special
On Skew Cyclic Codes over a Finite Ring
Mousavi
H.
^{
}
Mohammadi
R.
^{
}
Rahimi
S.
^{
}
^{
}Department of Mathematics, Tarbiat Modares University, Tehran, Iran.
^{
}Department of Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran.
^{
}Department of Information Technology, Imam Hossein University, Tehran, Iran.
1
4
2019
14
1
135
145
04
09
2016
08
10
2017
In this paper, we classify the skew cyclic codes over Fp +
vF_p + v^2F_p, where p is a prime number and v^3 = v. Each skew cyclic
code is a F_p+vF_p+v^2F_p-submodule of the (F_p+vF_p+v^2F_p)[x;alpha], where
v^3 = v and alpha(v) = -v. Also, we give an explicit forms for the generator of
these codes. Moreover, an algorithm of encoding and decoding for these
codes is presented.
956
Special
A Submodule-Based Zero Divisors Graph for Modules
Babaei
S.
^{
}
Payrovi
Sh.
^{
}
Sengelen Sevim
E.
^{
}
^{
}Department of Mathematics, Imam Khomeini International University
^{
}Imam Khomeini International University
^{
}Istanbul Bilgi University
1
4
2019
14
1
147
157
08
09
2016
12
01
2017
Let $R$ be commutative ring with identity and $M$ be an $R$-module. The zero divisor graph of $M$ is denoted $Gamma{(M)}$. In this study, we are going to generalize the zero divisor graph $Gamma(M)$ to submodule-based zero divisor graph $Gamma(M, N)$ by replacing elements whose product is zero with elements whose product is in some submodules $N$ of $M$. The main objective of this paper is to study the interplay of the properties of submodule $N$ and the properties of $Gamma(M, N)$.
983
General
Some Generalizations of Locally Closed Sets
Modak
Sh.
^{
}
Noiri
T.
^{
}
^{
}Department of Mathematics, University of Gour Banga
^{
}Kuvempu University, Shiokita - cho, Hinagu
1
4
2019
14
1
159
165
23
11
2016
18
04
2017
Arenas et al. [1] introduced the notion of lambda-closed sets as a generalization of locally closed sets. In this paper, we introduce the notions of lambda locally closed sets, Lambda_lambda closed sets and lambda_g-closed sets and obtain some decompositions of closed sets and continuity in topological spaces.
985
Special
Iterative Process for an α- Nonexpansive Mapping and a Mapping Satisfying Condition(C) in a Convex Metric Space
Fukhar-ud-din
H.
^{
}
^{
}Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals
1
4
2019
14
1
167
179
24
11
2016
17
09
2018
We construct one-step iterative process for an α- nonexpansive mapping and a mapping satisfying condition (C) in the framework of a convex metric space. We study -convergence and strong convergence of the iterative process to the common fixed point of the mappings. Our results are new and are valid in hyperbolic spaces, CAT(0) spaces, Banach spaces and Hilbert spaces, simultaneously.
1685
Special
ABSTRACTS IN PERSIAN Vol.14, No.1
In This Volume
The Name of Authors
^{
}
^{
}All Affilliations
1
4
2019
14
1
181
196
20
07
2019
20
07
2019
Please see the full text contains the Pesian abstracts for this volume.