eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2012-03-01
01
01
1
7
510059
$n$-Jordan homomorphisms on C-algebras
A. Bodaghi
abasalt.bodaghi@gmail.com
1
B. Shojaee
2
Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Let $nin mathbb{N}$. An additive map $h:Ato B$ between algebras $A$ and $B$ is called $n$-Jordan homomorphism if $h(a^n)=(h(a))^n$ for all $ain A$. 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.
http://jlta.iauctb.ac.ir/article_510059_0eb8e1d50a423d078498a721b6db5616.pdf
n-homomorphism
n-ring
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2012-03-01
01
01
9
13
510060
Some notes on L-projections on Fourier-Stieltjes algebras
M. Shahrabi Farahani
1
S. Moayeri
2
M. Ghahramani
majidgh81@yahoo.com
3
Department of Mathematical Sciences, Isfahan Uinversity of Technology, Isfahan 84156-83111, Iran
Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran 14676-86831, Iran
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.
http://jlta.iauctb.ac.ir/article_510060_a1e5a6c7158f4b853913a329af5b3aff.pdf
L-projection
conditional expectation
Fourier-Stieltjes algebra
spine of Fourier-Stieltjes algebra
Locally compact group
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2012-03-01
01
01
15
20
510061
A note on power values of generalized derivation in prime ring and noncommutative Banach algebras
Sh. Sahebi
sahebi@iauctb.ac.ir
1
V. Rahmani
venosrahmani@yahoo.com
2
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran
Let $R$ be a prime ring with extended centroid $C$, $H$ a generalized derivation of $R$ and $ngeq 1$ a fixed integer. In this paper we study the situations: (1) If $(H(xy))^n =(H(x))^n(H(y))^n$ for all $x,yin R$; (2) obtain some related result in case $R$ is a noncommutative Banach algebra and $H$ is continuous or spectrally bounded.
http://jlta.iauctb.ac.ir/article_510061_aa97a0ba31fb78327290ede3c511aefd.pdf
generalized derivation
prime ring
Banach algebras
Martindale quotient ring
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2012-03-01
01
01
21
25
510062
Solving the liner quadratic differential equations with constant coefficients using Taylor series with step size h
M. Karimian
elmemathematic@yahoo.com
1
Department of Mathematics, Islamic Azad University, Abdanan Branch, Ilam, Iran
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.
http://jlta.iauctb.ac.ir/article_510062_21391e04f7f9364f24e832e6835c946c.pdf
Differential equation
initial value
step length
numerical methods
Taylor series
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2012-03-01
01
01
27
32
510063
OD-characterization of almost simple groups related to U3(11)
P. Nosratpour
p.nosratpour@ilam-iau.ac.ir
1
M. R. Darafsheh
2
Department of mathematics, Ilam Branch, Islamic Azad university, Ilam, Iran
School of mathematics, College of Science, University of Tehran, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_510063_92a9fae09d06edd31ecfb80cf869e7f3.pdf
prime graph
recognition
linear group
nite simple group
degree pattern
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2012-03-01
01
01
33
40
510064
New fixed and periodic point results on cone metric spaces
Gh. Soleimani Rad
gha.soleimani.sci@iauctb.ac.ir
1
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, PO. Code 13185-768, Iran
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.
http://jlta.iauctb.ac.ir/article_510064_96b2bed4920542de8b1dfb35f117095c.pdf
Cone metric space
fixed point
Property P
Property Q
Normal cone
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2012-03-01
01
01
41
44
510065
Commutativity degree of $mathbb{Z}_p$≀$mathbb{Z}_{p^n}
M. Maghasedi
maghasedi@kiau.ac.ir
1
Islamic Azad University, Karaj Branch, Iran
For a nite group G the commutativity degree denote by d(G) and dend:$$d(G) =frac{|{(x; y)|x, yin G,xy = yx}|}{|G|^2}.$$ 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.
http://jlta.iauctb.ac.ir/article_510065_5e008dd9b816284e1d6f0dbe0fab4665.pdf
Presentation of groups
Finite groups
commutativity degree
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2012-03-01
01
01
45
53
510066
Numerical solution of functional integral equations by using B-splines
R. Firouzdor
1
A. Heidarnejad Khoob
2
Z. Mollaramezani
3
Department of Mathematics, Islamic Azad University and Young Researcher Club, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, Tehran, Iran
Department of Mathematics, Payameh noor university, New City Hashgerd, Hashgerd, Iran
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.
http://jlta.iauctb.ac.ir/article_510066_44b64a1f123e88cd4ae0f8002d88af41.pdf
Lagrange interpolation
B-spline functions
Functional integral equation