eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-01
06
03
191
198
536041
Characterization of $(delta, varepsilon)$-double derivation on rings and algebras
Z. Jokar
jokar.zahra@yahoo.com
1
A. Niknam
dassamankin@yahoo.co.uk
2
Department of Mathematics, Mashhad Branch, Islamic Azad University-Mashhad, Iran
Department of Mathematics, Ferdowsi University of Mashhad and Center of Excellence in Analysis on Algebraic Structures (CEAAS) Ferdowsi University, Mashhad, Iran
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 $mathcal{R}$.
http://jlta.iauctb.ac.ir/article_536041_aedee60f073470d0b117dec680f647ff.pdf
derivation
Jordan derivation
(δ,ε)-double derivation
n-torsion free semiprime ring
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-10
06
03
199
206
536043
Fuzzy almost generalized $e$-continuous mappings
A. Vadivel
avmaths@gmail.com
1
B. Vijayalakshmi
mathvijaya2006au@gmail.com
2
Department of Mathematics, Annamalai University, Annamalai Nagar, Chidambaram, India
Department of Mathematics, Annamalai University, Annamalai Nagar, Chidambaram, India
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.
http://jlta.iauctb.ac.ir/article_536043_7c95502bdd6dbd302abcc73a7c43fdb4.pdf
Fuzzy almost generalized $e$-continuous
$fge$-space
$fge$-regular space
$f T_{frac{1}{2}}e$-space
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-01
06
03
207
216
535473
Spectral triples of weighted groups
M. Amini
mamini@modares.ac.ir
1
Kh. Shamsolkotabi
khashuyur@gmail.com
2
Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran
Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran
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.
http://jlta.iauctb.ac.ir/article_535473_459ae47dbf75a963e1abf29ccf773a7f.pdf
Spectral triple
weighted group
functors
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-10-01
06
03
217
221
536045
On some Frobenius groups with the same prime graph as the almost simple group ${ {bf PGL(2,49)}}$
A. Mahmoudifar
alimahmoudifar@gmail.com
1
Department of Mathematics, Tehran North Branch, Islamic Azad University, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_536045_3d85a99b67d0a27c0d4b71dd3929b61e.pdf
Almost simple group
prime graph
Frobenius group
element order
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-01
06
03
223
236
536046
Interval valued fuzzy weak bi-ideals of $Gamma$-near-rings
V. Chinnadurai
arulmozhiems@gmail.com
1
K. Arulmozhi
kv.chinnadurai@yahoo.com
2
S. Kadalarasi
kadalarasi89@gmail.com
3
Department of Mathematics, Annamalai University, Annamalainagar-608 002, India
Department of Mathematics, Annamalai University, Annamalainagar-608 002, India
Department of Mathematics, Annamalai University, Annamalainagar-608 002, India
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.
http://jlta.iauctb.ac.ir/article_536046_58c0e14373c1b677c32ee78eaa568fea.pdf
$Gamma$-near-rings
fuzzy weak bi-ideals
interval valued fuzzy weak bi-ideals
homomorphism and anti-homomorphism
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-01
06
03
237
250
533329
Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method
M. Mosleh
maryammosleh79@yahoo.com
1
Department of Mathematics, Islamic Azad University, Firoozkooh Branch, Firoozkooh, Iran
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.
http://jlta.iauctb.ac.ir/article_533329_b24e6cc5af50a208735f84fbe9de87fd.pdf
fuzzy numbers
system of polynomials
Adomian decomposition method
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-09-01
06
03
251
260
533328
Fixed point theory in generalized orthogonal metric space
M. Eshaghi Gordji
madjid.eshaghi@gmail.com
1
H. Habibi
hastihabibi1363@gmail.com
2
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
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.
http://jlta.iauctb.ac.ir/article_533328_9d7078d29a5d86c4c5315da8f03e673b.pdf
fixed point
Orthogonal set
Solution
Generalized metric space
Cauchy problem