2018-12-15T05:15:04Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=114854
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
03
Characterization of $(delta, varepsilon)$-double derivation on rings and algebras
Z.
Jokar
A.
Niknam
This paper is an attempt to prove the following result:<br />Let $n>1$ be an integer and let $mathcal{R}$ be a $n!$-torsion-free ring with the identity element. Suppose that $d, delta, varepsilon$ are additive mappings satisfying<br />begin{equation}<br />d(x^n) = sum^{n}_{j=1}x^{n-j}d(x)x^{j-1}+sum^{n-1}_{j=1}sum^{j}_{i=1}x^{n-1-j}Big(delta(x)x^{j-i}varepsilon(x)+varepsilon(x)x^{j-i}delta(x)Big)x^{i-1}quad<br />end{equation}<br />for all $x in mathcal{R}$. If $delta(e) = varepsilon(e) = 0$, then $d$ is a Jordan $(delta, varepsilon)$-double derivation. In particular, if $mathcal{R}$ is a semiprime algebra and further, $delta(x) varepsilon(x) + varepsilon(x) delta(x) = frac{1}{2}Big[(delta varepsilon + varepsilon delta)(x^2) - (delta varepsilon(x) + varepsilon delta(x))x - x (delta varepsilon(x) + varepsilon delta(x))Big]$ holds for all $x in mathcal{R}$, then $d - frac{delta varepsilon + varepsilon delta}{2}$ is a derivation on $mathcal{R}$.
derivation
Jordan derivation
(δ,ε)-double derivation
n-torsion free semiprime ring
2017
12
01
191
198
http://jlta.iauctb.ac.ir/article_536041_aedee60f073470d0b117dec680f647ff.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
03
Fuzzy almost generalized $e$-continuous mappings
A.
Vadivel
B.
Vijayalakshmi
In this paper, we introduce and characterize the concept of fuzzy almost generalized $e$-continuous mappings. Several interesting properties of these mappings are also given. Examples and counter examples are also given to illustrate the concepts introduced in the paper. We also introduce the concept of fuzzy $f T_{frac{1}{2}}e$-space, fuzzy $ge$-space, fuzzy regular $ge$-space and fuzzy generalized $e$-compact space. It is seen that a fuzzy almost generalized $e$-continuous mapping from a fuzzy $f T_{frac{1}{2}}e$-space to another fuzzy topological space becomes fuzzy almost continuous mapping.
Fuzzy almost generalized $e$-continuous
$fge$-space
$fge$-regular space
$f T_{frac{1}{2}}e$-space
2017
12
10
199
206
http://jlta.iauctb.ac.ir/article_536043_7c95502bdd6dbd302abcc73a7c43fdb4.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
03
Spectral triples of weighted groups
M.
Amini
Kh.
Shamsolkotabi
We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.
Spectral triple
weighted group
functors
2017
12
01
207
216
http://jlta.iauctb.ac.ir/article_535473_459ae47dbf75a963e1abf29ccf773a7f.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
03
On some Frobenius groups with the same prime graph as the almost simple group ${ {bf PGL(2,49)}}$
A.
Mahmoudifar
The prime graph of a finite group $G$ is denoted by $Gamma(G)$ whose vertex set is $pi(G)$ and two distinct primes $p$ and $q$ are adjacent in $Gamma(G)$, whenever $G$ contains an element with order $pq$. We say that $G$ is unrecognizable by prime graph if there is a finite group $H$ with $Gamma(H)=Gamma(G)$, in while $Hnotcong G$. In this paper, we consider finite groups with the same prime graph as the almost simple group $textrm{PGL}(2,49)$. Moreover, we construct some Frobenius groups whose prime graphs coincide with $Gamma(textrm{PGL}(2,49))$, in particular, we get that $textrm{PGL}(2,49)$ is unrecognizable by its prime graph.
Almost simple group
prime graph
Frobenius group
element order
2017
10
01
217
221
http://jlta.iauctb.ac.ir/article_536045_3d85a99b67d0a27c0d4b71dd3929b61e.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
03
Interval valued fuzzy weak bi-ideals of $Gamma$-near-rings
V.
Chinnadurai
K.
Arulmozhi
S.
Kadalarasi
In this paper, we introduce the concept of interval valued fuzzy weak bi-ideals of $Gamma$-near-rings, which is a generalized concept of fuzzy weak bi-ideals of $Gamma$- near-rings. We also characterize some properties and examples of interval valued fuzzy weak bi-ideals of $Gamma$-near-rings.
$Gamma$-near-rings
fuzzy weak bi-ideals
interval valued fuzzy weak bi-ideals
homomorphism and anti-homomorphism
2017
12
01
223
236
http://jlta.iauctb.ac.ir/article_536046_58c0e14373c1b677c32ee78eaa568fea.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
03
Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method
M.
Mosleh
In this paper, we present some efficient numerical algorithm for solving system of fuzzy polynomial equations based on Newton's method. The modified Adomian decomposition method is applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency of algorithms.
fuzzy numbers
system of polynomials
Adomian decomposition method
2017
12
01
237
250
http://jlta.iauctb.ac.ir/article_533329_b24e6cc5af50a208735f84fbe9de87fd.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
03
Fixed point theory in generalized orthogonal metric space
M.
Eshaghi Gordji
H.
Habibi
In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.
fixed point
Orthogonal set
Solution
Generalized metric space
Cauchy problem
2017
09
01
251
260
http://jlta.iauctb.ac.ir/article_533328_9d7078d29a5d86c4c5315da8f03e673b.pdf