@Article{Sahebi2013,
author="Sahebi, Sh.
and Azadi, M.",
title="Commuting $\pi$-regular rings",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="02",
pages="67-70",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510051.html"
}
@Article{HajSeyyedJavadi2013,
author="Haj Seyyed Javadi, H.
and Jamshidvand, S.
and Maleki, M.",
title="On strongly J-clean rings associated with polynomial identity g(x) = 0",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="02",
pages="71-76",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510052.html"
}
@Article{Lotfi2013,
author="Lotfi, T.
and Vieseh, H.",
title="A note on unique solvability of the absolute value equation",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="02",
pages="77-81",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510053.html"
}
@Article{SafariSabet2013,
author="Safari Sabet, Sh.
and Farmani, M.
and Khormali, O.
and Mahmiani, A.
and Bagheri, Z.",
title="On edge detour index polynomials",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="02",
pages="83-89",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510054.html"
}
@Article{KalatehBojdi2013,
author="Kalateh Bojdi, Z.
and Ahmadi-Asl, S.
and Aminataei, A.",
title="Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="02",
pages="91-103",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510055.html"
}
@Article{Paripour2013,
author="Paripour, M.
and Saeidian, J.
and Sadeghi, A.",
title="A new approach to solve fuzzy system of linear equations by Homotopy perturbation method",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="02",
pages="105-115",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_514256.html"
}
@Article{NiliAhmadabadi2013,
author="Nili Ahmadabadi, M.
and Arab, M.
and Maalek Ghaini, F. M.",
title="The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="02",
pages="117-127",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_514257.html"
}