eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
67
70
510051
Commuting $pi$-regular rings
Sh Sahebi
1
M Azadi
2
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
R is called commuting regular ring (resp. semigroup) if for each x,y $in$ R thereexists 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.
http://jlta.iauctb.ac.ir/article_510051_7ee88bde781db5864d87b43ff9257b0b.pdf
Regular
Commuting $pi$-regular
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
71
76
510052
On strongly J-clean rings associated with polynomial identity g(x) = 0
H Haj Seyyed Javadi
1
S Jamshidvand
jamshidvand1367@gmail.com
2
M Maleki
3
Department of Mathematics, Shahed University, Tehran, Iran.
Department of Mathematics, Shahed University, Tehran, Iran.
Department of Mathematics, Shahed University, Tehran, Iran.
In this paper, we introduce the new notion of strongly J-clean rings associatedwith polynomial identity g(x) = 0, as a generalization of strongly J-clean rings. We denotestrongly J-clean rings associated with polynomial identity g(x) = 0 by strongly g(x)-J-cleanrings. Next, we investigate some properties of strongly g(x)-J-clean.
http://jlta.iauctb.ac.ir/article_510052_d11cad8b25bc9742b45b25f407279a7d.pdf
Full element
uniquely clean ring
nil clean ring
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
77
81
510053
A note on unique solvability of the absolute value equation
T Lotfi
1
H Vieseh
2
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.
It is proved that applying sucient regularity conditions to the interval matrix[A jBj;A + jBj], we can create a new unique solvability condition for the absolute valueequation Ax + Bjxj = b, since regularity of interval matrices implies unique solvability oftheir corresponding absolute value equation. This condition is formulated in terms of positivedeniteness of a certain point matrix. Special case B = I is veried too as an application.
http://jlta.iauctb.ac.ir/article_510053_9e8e77449fc3ae8d86aa53b9660b2a19.pdf
Eigenvalue
Generalized eigenvalue
Quadratic eigenvalue
Numerical
computation
Iterative method
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
83
89
510054
On edge detour index polynomials
Sh Safari Sabet
1
M Farmani
2
O Khormali
3
A Mahmiani
4
Z Bagheri
5
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Mathematics and Informatics Research Group, ACECR, Tarbiat Modares University, P. O. Box: 14115-343, Tehran, Iran
Department of Mathematics, Payame Noor University, 19395-4797, Tehran, Iran
Islamic Azad University Branch of Azadshaher, Azadshaher, Iran
The edge detour index polynomials were recently introduced for computing theedge detour indices. In this paper we nd relations among edge detour polynomials for the2-dimensional graph of TUC4C8(S) in a Euclidean plane and TUC4C8(S) nanotorus.
http://jlta.iauctb.ac.ir/article_510054_51b0bbf91b051396b9b9a7e4ff566afa.pdf
Heun equation
Wiener process
Stochastic differential equation
Linear equations system
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
91
103
510055
Operational matrices with respect to Hermite polynomials and their applications in solving linear dierential equations with variable coecients
Z Kalateh Bojdi
1
S Ahmadi-Asl
2
A Aminataei
3
Department of Mathematics, Birjand University, Birjand, Iran;
Department of Mathematics, Birjand University, Birjand, Iran;
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.
In this paper, a new and ecient approach is applied for numerical approximationof the linear dierential equations with variable coecients based on operational matriceswith respect to Hermite polynomials. Explicit formulae which express the Hermite expansioncoecients for the moments of derivatives of any dierentiable function in terms of theoriginal expansion coecients of the function itself are given in the matrix form. The mainimportance of this scheme is that using this approach reduces solving the linear dierentialequations 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 themethod.
http://jlta.iauctb.ac.ir/article_510055_7694e7a62ce277393219dc3f08d757f0.pdf
Operational matrices
Hermite polynomials
Linear dierential equations with
variable coecients
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
105
115
514256
A new approach to solve fuzzy system of linear equations by Homotopy perturbation method
M Paripour
paripour@hut.ac.ir, paripour@gmail.com
1
J Saeidian
2
A Sadeghi
3
Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran;
Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran 1561836314, Iran;
Department of Mathematics, Science and Research Branch, Islamic Azad University, Arak, Iran.
In this paper, we present an ecient numerical algorithm for solving fuzzy systemsof linear equations based on homotopy perturbation method. The method is discussed indetail and illustrated by solving some numerical examples.
http://jlta.iauctb.ac.ir/article_514256_d54426e4ec1b020014ce00c56967a4ca.pdf
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
117
127
514257
The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases
M Nili Ahmadabadi
nili@phu.iaun.ac.ir
1
M Arab
2
F.M Maalek Ghaini
3
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran;
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University, Yazd, Iran.
In this paper, the Method of Fundamental Solutions (MFS) is extended to solvesome special cases of the problem of transient heat conduction in functionally graded mate-rials. First, the problem is transformed to a heat equation with constant coecients usinga suitable new transformation and then the MFS together with the Tikhonov regularizationmethod is used to solve the resulting equation.
http://jlta.iauctb.ac.ir/article_514257_d41d8cd98f00b204e9800998ecf8427e.pdf
Heat conduction
Functionally graded materials
Method of fundamental
solutions