@Article{Sahebi2013,
author="Sahebi, Sh.
and Rahmani, V.",
title="Derivations in semiprime rings and Banach algebras",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="03",
pages="129-135",
abstract="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 $x,y\in R$ where $0\neq b\in R$, 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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510014.html"
}
@Article{EtemadDehkordya2013,
author="Etemad Dehkordya, A.
and Malek Mohamad, M.",
title="Some results of semilocally simply connected property",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="03",
pages="137-143",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510015.html"
}
@Article{TabatabaiAdnani2013,
author="Tabatabai Adnani, A. A.
and Reza, A.
and Morovati, M.",
title="A generalization of Bertrand's test",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="03",
pages="145-151",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510016.html"
}
@Article{Azadi2013,
author="Azadi, M.
and Amadi, H.",
title="On the Finite Groupoid G(n)",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="03",
pages="153-159",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_510017.html"
}
@Article{Nosratpour2013,
author="Nosratpour, P.",
title="OD-characterization of $S_4(4)$ and its group of automorphisms",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2013",
volume="02",
number="03",
pages="161-166",
abstract="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 $p\sim q$. Let $|G= p_1^{\alpha_1}\cdot p_2^{\alpha_2}\cdots p_k^{\alpha_k}$, where $p_1