$n$-Jordan homomorphisms on C-algebras
A.
Bodaghi
Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran
author
B.
Shojaee
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
author
text
article
2012
eng
Let $n\in \mathbb{N}$. An additive map $h:A\to B$ between algebras $A$ and $B$ is called $n$-Jordan homomorphism if $h(a^n)=(h(a))^n$ for all $a\in A$. We show that every $n$-Jordan homomorphism between commutative Banach algebras is a $n$-ring homomorphism when $n < 8$. For these cases, every involutive $n$-Jordan homomorphism between commutative C-algebras is norm continuous.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
01
v.
01
no.
2012
1
7
http://jlta.iauctb.ac.ir/article_510059_0eb8e1d50a423d078498a721b6db5616.pdf
Some notes on L-projections on Fourier-Stieltjes algebras
M.
Shahrabi Farahani
Department of Mathematical Sciences, Isfahan Uinversity of Technology,
Isfahan 84156-83111, Iran
author
S.
Moayeri
Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Iran
author
M.
Ghahramani
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran 14676-86831, Iran
author
text
article
2012
eng
In this paper, we investigate the relation between L-projections and conditional expectations on subalgebras of the Fourier Stieltjes algebra B(G), and we will show that compactness of G plays an important role in this relation.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
01
v.
01
no.
2012
9
13
http://jlta.iauctb.ac.ir/article_510060_a1e5a6c7158f4b853913a329af5b3aff.pdf
A note on power values of generalized derivation in prime ring and noncommutative Banach algebras
Sh.
Sahebi
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
author
V.
Rahmani
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
author
text
article
2012
eng
Let $R$ be a prime ring with extended centroid $C$, $H$ a generalized derivation of $R$ and $n\geq 1$ a fixed integer. In this paper we study the situations: (1) If $(H(xy))^n =(H(x))^n(H(y))^n$ for all $x,y\in R$; (2) obtain some related result in case $R$ is a noncommutative Banach algebra and $H$ is continuous or spectrally bounded.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
01
v.
01
no.
2012
15
20
http://jlta.iauctb.ac.ir/article_510061_aa97a0ba31fb78327290ede3c511aefd.pdf
Solving the liner quadratic differential equations with constant coefficients using Taylor series with step size h
M.
Karimian
Department of Mathematics, Islamic Azad University, Abdanan Branch, Ilam, Iran
author
text
article
2012
eng
In this study we produced a new method for solving regular differential equations with step size h and Taylor series. This method analyzes a regular differential equation with initial values and step size h. this types of equations include quadratic and cubic homogenous equations with constant coeffcients and cubic and second-level equations.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
01
v.
01
no.
2012
21
25
http://jlta.iauctb.ac.ir/article_510062_21391e04f7f9364f24e832e6835c946c.pdf
OD-characterization of almost simple groups related to U3(11)
P.
Nosratpour
Department of mathematics, Ilam Branch, Islamic Azad university, Ilam, Iran
author
M. R.
Darafsheh
School of mathematics, College of Science, University of Tehran, Tehran, Iran
author
text
article
2012
eng
Let $L := U_3(11)$. In this article, we classify groups with the same order and degree pattern as an almost simple group related to $L$. In fact, we prove that $L$, $L:2$ and $L:3$ are OD-characterizable, and $L:S_3$ is $5$-fold OD-characterizable.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
01
v.
01
no.
2012
27
32
http://jlta.iauctb.ac.ir/article_510063_92a9fae09d06edd31ecfb80cf869e7f3.pdf
New fixed and periodic point results on cone metric spaces
Gh.
Soleimani Rad
Department of Mathematics, Faculty of Science, Islamic Azad University, Central
Tehran Branch, PO. Code 13185-768, Iran
author
text
article
2012
eng
In this paper, several fixed point theorems for T-contraction of two maps on cone metric spaces under normality condition are proved. Obtained results extend and generalize well-known comparable results in the literature.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
01
v.
01
no.
2012
33
40
http://jlta.iauctb.ac.ir/article_510064_96b2bed4920542de8b1dfb35f117095c.pdf
Commutativity degree of $\mathbb{Z}_p$≀$\mathbb{Z}_{p^n}
M.
Maghasedi
Islamic Azad University, Karaj Branch, Iran
author
text
article
2012
eng
For a nite group G the commutativity degree denote by d(G) and dend:$$d(G) =\frac{|\{(x; y)|x, y\in G,xy = yx\}|}{|G|^2}.$$ In [2] authors found commutativity degree for some groups,in this paper we nd commutativity degree for a class of groups that have high nilpontencies.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
01
v.
01
no.
2012
41
44
http://jlta.iauctb.ac.ir/article_510065_5e008dd9b816284e1d6f0dbe0fab4665.pdf
Numerical solution of functional integral equations by using B-splines
R.
Firouzdor
Department of Mathematics, Islamic Azad University and Young Researcher Club,
Central Tehran Branch, Tehran, Iran
author
A.
Heidarnejad Khoob
Department of Mathematics, Islamic Azad University, Tehran, Iran
author
Z.
Mollaramezani
Department of Mathematics, Payameh noor university, New City Hashgerd, Hashgerd,
Iran
author
text
article
2012
eng
This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method can be extended to functional differential and integro-differential equations. For showing efficiency of the method we give some numerical examples.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
01
v.
01
no.
2012
45
53
http://jlta.iauctb.ac.ir/article_510066_44b64a1f123e88cd4ae0f8002d88af41.pdf