Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
03
2017
12
01
Characterization of $(delta, varepsilon)$-double derivation on rings and algebras
191
198
EN
Z.
Jokar
Department of Mathematics, Mashhad Branch, Islamic Azad University-Mashhad, Iran
jokar.zahra@yahoo.com
A.
Niknam
Department of Mathematics, Ferdowsi University of Mashhad and Center of Excellence in Analysis on Algebraic Structures (CEAAS) Ferdowsi University, Mashhad, Iran
dassamankin@yahoo.co.uk
This paper is an attempt to prove the following result: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 satisfyingbegin{equation}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}quadend{equation}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
http://jlta.iauctb.ac.ir/article_536041.html
http://jlta.iauctb.ac.ir/article_536041_aedee60f073470d0b117dec680f647ff.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
03
2017
12
10
Fuzzy almost generalized $e$-continuous mappings
199
206
EN
A.
Vadivel
Department of Mathematics, Annamalai University, Annamalai Nagar, Chidambaram, India
avmaths@gmail.com
B.
Vijayalakshmi
Department of Mathematics, Annamalai University, Annamalai Nagar, Chidambaram, India
mathvijaya2006au@gmail.com
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
http://jlta.iauctb.ac.ir/article_536043.html
http://jlta.iauctb.ac.ir/article_536043_7c95502bdd6dbd302abcc73a7c43fdb4.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
03
2017
12
01
Spectral triples of weighted groups
207
216
EN
M.
Amini
Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran
mamini@modares.ac.ir
Kh.
Shamsolkotabi
Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran 14115-134, Iran
khashuyur@gmail.com
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
http://jlta.iauctb.ac.ir/article_535473.html
http://jlta.iauctb.ac.ir/article_535473_459ae47dbf75a963e1abf29ccf773a7f.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
03
2017
10
01
On some Frobenius groups with the same prime graph as the almost simple group ${ {bf PGL(2,49)}}$
217
221
EN
A.
Mahmoudifar
Department of Mathematics, Tehran North Branch, Islamic Azad University, Tehran, Iran
alimahmoudifar@gmail.com
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
http://jlta.iauctb.ac.ir/article_536045.html
http://jlta.iauctb.ac.ir/article_536045_3d85a99b67d0a27c0d4b71dd3929b61e.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
03
2017
12
01
Interval valued fuzzy weak bi-ideals of $Gamma$-near-rings
223
236
EN
V.
Chinnadurai
Department of Mathematics, Annamalai University, Annamalainagar-608 002, India
arulmozhiems@gmail.com
K.
Arulmozhi
Department of Mathematics, Annamalai University, Annamalainagar-608 002, India
kv.chinnadurai@yahoo.com
S.
Kadalarasi
Department of Mathematics, Annamalai University, Annamalainagar-608 002, India
kadalarasi89@gmail.com
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
http://jlta.iauctb.ac.ir/article_536046.html
http://jlta.iauctb.ac.ir/article_536046_58c0e14373c1b677c32ee78eaa568fea.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
03
2017
12
01
Numerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method
237
250
EN
M.
Mosleh
Department of Mathematics, Islamic Azad University, Firoozkooh Branch, Firoozkooh, Iran
maryammosleh79@yahoo.com
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
http://jlta.iauctb.ac.ir/article_533329.html
http://jlta.iauctb.ac.ir/article_533329_b24e6cc5af50a208735f84fbe9de87fd.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
03
2017
09
01
Fixed point theory in generalized orthogonal metric space
251
260
EN
M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
madjid.eshaghi@gmail.com
H.
Habibi
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
hastihabibi1363@gmail.com
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
http://jlta.iauctb.ac.ir/article_533328.html
http://jlta.iauctb.ac.ir/article_533328_9d7078d29a5d86c4c5315da8f03e673b.pdf