Commuting $\pi$-regular rings
Sh.
Sahebi
Department of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
author
M.
Azadi
Department of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
author
text
article
2013
eng
R is called commuting regular ring (resp. semigroup) if for each x,y $\in$ R there exists a $\in$ R such that xy = yxayx. In this paper, we introduce the concept of commuting $\pi$-regular rings (resp. semigroups) and study various properties of them.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
02
no.
2013
67
70
http://jlta.iauctb.ac.ir/article_510051_7ee88bde781db5864d87b43ff9257b0b.pdf
On strongly J-clean rings associated with polynomial identity g(x) = 0
H.
Haj Seyyed Javadi
Department of Mathematics, Shahed University, Tehran, Iran
author
S.
Jamshidvand
Department of Mathematics, Shahed University, Tehran, Iran
author
M.
Maleki
Department of Mathematics, Shahed University, Tehran, Iran
author
text
article
2013
eng
In this paper, we introduce the new notion of strongly J-clean rings associated with polynomial identity g(x) = 0, as a generalization of strongly J-clean rings. We denote strongly J-clean rings associated with polynomial identity g(x) = 0 by strongly g(x)-J-clean rings. Next, we investigate some properties of strongly g(x)-J-clean.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
02
no.
2013
71
76
http://jlta.iauctb.ac.ir/article_510052_d11cad8b25bc9742b45b25f407279a7d.pdf
A note on unique solvability of the absolute value equation
T.
Lotfi
Department of Mathematics, Hamedan Branch, Islamic Azad University,
Hamedan, Iran
author
H.
Vieseh
Department of Mathematics, Hamedan Branch, Islamic Azad University,
Hamedan, Iran
author
text
article
2013
eng
It is proved that applying sufficient regularity conditions to the interval matrix $[A-|B|,A + |B|]$, we can create a new unique solvability condition for the absolute value equation $Ax + B|x|=b$, since regularity of interval matrices implies unique solvability of their corresponding absolute value equation. This condition is formulated in terms of positive deniteness of a certain point matrix. Special case $B=-I$ is veried too as an application.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
02
no.
2013
77
81
http://jlta.iauctb.ac.ir/article_510053_9e8e77449fc3ae8d86aa53b9660b2a19.pdf
On edge detour index polynomials
Sh.
Safari Sabet
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, Iran
author
M.
Farmani
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, Iran
author
O.
Khormali
Mathematics and Informatics Research Group, ACECR, Tarbiat Modares University,
P. O. Box: 14115-343, Tehran, Iran
author
A.
Mahmiani
Department of Mathematics, Payame Noor University, 19395-4797,
Tehran, Iran
author
Z.
Bagheri
Islamic Azad University Branch of Azadshaher, Azadshaher, Iran
author
text
article
2013
eng
The edge detour index polynomials were recently introduced for computing the edge detour indices. In this paper we find relations among edge detour polynomials for the 2-dimensional graph of $TUC_4C_8(S)$ in a Euclidean plane and $TUC4C8(S)$ nanotorus.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
02
no.
2013
83
89
http://jlta.iauctb.ac.ir/article_510054_51b0bbf91b051396b9b9a7e4ff566afa.pdf
Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients
Z.
Kalateh Bojdi
Department of Mathematics, Birjand University, Birjand, Iran
author
S.
Ahmadi-Asl
Department of Mathematics, Birjand University, Birjand, Iran
author
A.
Aminataei
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
author
text
article
2013
eng
In this paper, a new and efficient approach is applied for numerical approximation of the linear differential equations with variable coeffcients based on operational matrices with respect to Hermite polynomials. Explicit formulae which express the Hermite expansion coeffcients for the moments of derivatives of any differentiable function in terms of the original expansion coefficients of the function itself are given in the matrix form. The main importance of this scheme is that using this approach reduces solving the linear differential equations to solve a system of linear algebraic equations, thus greatly simplifying the problem. In addition, two experiments are given to demonstrate the validity and applicability of the method.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
02
no.
2013
91
103
http://jlta.iauctb.ac.ir/article_510055_7694e7a62ce277393219dc3f08d757f0.pdf
A new approach to solve fuzzy system of linear equations by Homotopy perturbation method
M.
Paripour
Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran
author
J.
Saeidian
Faculty of Mathematical Sciences and Computer, Kharazmi University,
50 Taleghani Avenue, Tehran 1561836314, Iran
author
A.
Sadeghi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Arak, Iran
author
text
article
2013
eng
In this paper, we present an efficient numerical algorithm for solving fuzzy systems of linear equations based on homotopy perturbation method. The method is discussed in detail and illustrated by solving some numerical examples.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
02
no.
2013
105
115
http://jlta.iauctb.ac.ir/article_514256_d54426e4ec1b020014ce00c56967a4ca.pdf
The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases
M.
Nili Ahmadabadi
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran
author
M.
Arab
Department of Mathematics, Yazd University, Yazd, Iran
author
F. M.
Maalek Ghaini
Department of Mathematics, Yazd University, Yazd, Iran
author
text
article
2013
eng
In this paper, the Method of Fundamental Solutions (MFS) is extended to solve some special cases of the problem of transient heat conduction in functionally graded materials. First, the problem is transformed to a heat equation with constant coefficients using a suitable new transformation and then the MFS together with the Tikhonov regularization method is used to solve the resulting equation.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
02
no.
2013
117
127
http://jlta.iauctb.ac.ir/article_514257_d41d8cd98f00b204e9800998ecf8427e.pdf