2018-11-17T07:45:48Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=110005
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2013
02
03
Derivations in semiprime rings and Banach algebras
Sh.
Sahebi
V.
Rahmani
Let $R$ be a 2-torsion free semiprime ring with extended centroid $C$, $U$ the Utumi quotient ring of $R$ and $m,n>0$ are fixed integers. We show that if $R$ admits derivation $d$ such that $b[[d(x), x]_n,[y,d(y)]_m]=0$ for all $x,yin R$ where $0neq bin R$, then there exists a central idempotent element $e$ of $U$ such that $eU$ is commutative ring and $d$ induce a zero derivation on $(1-e)U$. We also obtain some related result in case $R$ is a non-commutative Banach algebra and d continuous or spectrally bounded.
prime ring
semiprime ring
derivation
Utumi quotient ring
Banach algebra
2013
09
01
129
135
http://jlta.iauctb.ac.ir/article_510014_c0ecf3a2d537d24ca2b30bd50175a60b.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2013
02
03
Some results of semilocally simply connected property
A.
Etemad Dehkordya
M.
Malek Mohamad
If we consider some special conditions, we can assume fundamental group of a topological space as a new topological space. In this paper, we will present a number of theorems in topological fundamental group related to semilocally simply connected property for a topological space.
Semilocally simply connected
topological fundamental group
discrete space
2013
09
01
137
143
http://jlta.iauctb.ac.ir/article_510015_5062cb9c7c690e38b9dca1a0455c2dff.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2013
02
03
A generalization of Bertrand's test
A. A.
Tabatabai Adnani
A.
Reza
M.
Morovati
One of the most practical routine tests for convergence of a positive series makes use of the ratio test. If this test fails, we can use Rabbe's test. When Rabbe's test fails the next sharper criteria which may sometimes be used is the Bertrand's test. If this test fails, we can use a generalization of Bertrand's test and such tests can be continued innitely. For simplicity, we call ratio test, Rabbe's test, Bertrand's test as the Bertrand's test of order 0, 1 and 2, respectively. In this paper, we generalize Bertrand's test in order k for natural k > 2. It is also shown that for any k, there exists a series such that the Bertrand's test of order fails, but such test of order k + 1 is useful, furthermore we show that there exists a series such that for any k, Bertrand's test of order k fails. The only prerequisite for reading this article is a standard knowledge of advanced calculus.
Bertrand's test
Convergence test
Series test
2013
09
01
145
151
http://jlta.iauctb.ac.ir/article_510016_819b520d1a7e6d00b75db94497f5b7f8.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2013
02
03
On the Finite Groupoid G(n)
M.
Azadi
H.
Amadi
In this paper we study the existence of commuting regular elements, verifying the notion left (right) commuting regular elements and its properties in the groupoid G(n). Also we show that G(n) contains commuting regular subsemigroup and give a necessary and sufficient condition for the groupoid G(n) to be commuting regular.
Commuting regular semigroup
semigroup
groupoid
2013
09
01
153
159
http://jlta.iauctb.ac.ir/article_510017_fb1252dd8598780a6b0d040a37bee02a.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2013
02
03
OD-characterization of $S_4(4)$ and its group of automorphisms
P.
Nosratpour
Let $G$ be a finite group and $pi(G)$ be the set of all prime divisors of $|G|$. The prime graph of $G$ is a simple graph $Gamma(G)$ with vertex set $pi(G)$ and two distinct vertices $p$ and $q$ in $pi(G)$ are adjacent by an edge if an only if $G$ has an element of order $pq$. In this case, we write $psim q$. Let $|G= p_1^{alpha_1}cdot p_2^{alpha_2}cdots p_k^{alpha_k}$, where $p_1<p_2 <dots < p_k$ are primes. For $pin pi(G)$, let $deg(p) = |{qin pi(G)|psim q}|$ be the degree of $p$ in the graph $Gamma(G)$, we define $D(G)=(deg(p_1),deg(p_2),dots,deg(p_k))$ and call it the degree pattern of $G$. A group $G$ is called $k$-fold OD characterizable if there exist exactly $k$ non-isomorphic groups $S$ such that $|G|=|S|$ and $D(G) = D(S)$. Moreover, a 1-fold OD-characterizable group is simply called an OD-characterizable group. Let $L = S_4(4)$ be the projective symplectic group in dimension 4 over a field with 4 elements. In this article, we classify groups with the same order and degree pattern as an almost simple group related to L. Since $Aut(L)equiv Z_4$ hence almost simple groups related to $L$ are $L$, $L : 2$ or $L : 4$. In fact, we prove that $L$, $L : 2$ and $L : 4$ are OD-characterizable.
Finite simple group
OD-characterization
group of lie type
2013
09
01
161
166
http://jlta.iauctb.ac.ir/article_510018_04b780588dcc071ae9418ffe0226bd47.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2013
02
03
On the nonnegative inverse eigenvalue problem of traditional matrices
A. M.
Nazari
S.
Kamali Maher
In this paper, at first for a given set of real or complex numbers $sigma$ with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which $sigma$ is its spectrum. In continue we present some conditions for existence such nonnegative tridiagonal matrices.
Inverse eigenvalue problem
Tridiagonal matrix
Nonnegative matrix
2013
09
01
167
174
http://jlta.iauctb.ac.ir/article_510019_85f53f76519a196781fdc2d15d2801fc.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2013
02
03
Some properties of band matrix and its application to the numerical solution one-dimensional Bratu's problem
R.
Jalilian
Y.
Jalilian
H.
Jalilian
A Class of new methods based on a septic non-polynomial spline function for the numerical solution one-dimensional Bratu's problem are presented. The local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. The inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. Associated boundary formulas are developed. Convergence analysis of these methods is discussed. Numerical results are given to illustrate the efficiency of methods.
Two-point boundary value problem
Non-polynomial spline
Convergence analysis
Bratu's problem
2013
09
01
175
189
http://jlta.iauctb.ac.ir/article_510020_df91852bd2fbf4c39cb43b01bc47efbb.pdf