فهرست مطالب

Journal of Linear and Topological Algebra
Volume:1 Issue: 1, Winter 2012

  • تاریخ انتشار: 1390/12/11
  • تعداد عناوین: 8
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  • $n$-Jordan homomorphisms on C-algebras
    A. Bodaghi *, B. Shojaee Pages 1-7
    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.
    Keywords: n-homomorphism, n-ring
    Abstract View Paper Research/Original Article Original: English
  • Some notes on L-projections on Fourier-Stieltjes algebras
    M. Shahrabi Farahani, S. Moayeri, M. Ghahramani * Pages 9-13
    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.
    Keywords: L-projection, conditional expectation, Fourier-Stieltjes algebra, spine of Fourier-Stieltjes algebra, locally compact group
    Abstract View Paper Research/Original Article Original: English
  • A note on power values of generalized derivation in prime ring and noncommutative Banach algebras
    Sh. Sahebi *, V. Rahmani Pages 15-20
    Let $R$ be a prime ring with extended centroid $C$, $H$ a generalized derivation of $R$ and $ngeq 1$ a fi xed 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.
    Keywords: generalized derivation, prime ring, Banach algebras, Martindale quotient ring
    Abstract View Paper Research/Original Article Original: English
  • Solving the liner quadratic differential equations with constant coefficients using Taylor series with step size h
    M. Karimian * Pages 21-25
    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.
    Keywords: Differential equation, initial value, step length, Numerical Methods, Taylor series
    Abstract View Paper Research/Original Article Original: English
  • OD-characterization of almost simple groups related to U3(11)
    P. Nosratpour *, M. R. Darafsheh Pages 27-32
    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.
    Keywords: prime graph, recognition, linear group, nite simple group, degree pattern
    Abstract View Paper Research/Original Article Original: English
  • New fixed and periodic point results on cone metric spaces
    Gh. Soleimani Rad * Pages 33-40
    In this paper, several fi xed 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.
    Keywords: Cone metric space, fixed point, Property P, Property Q, Normal cone
    Abstract View Paper Research/Original Article Original: English
  • Commutativity degree of $mathbb{Z}_p$≀$mathbb{Z}_{p^n}
    M. Maghasedi * Pages 41-44
    For a nite group G the commutativity degree denote by d(G) and de nd:$$d(G) =frac{|{(x; y)|x, yin G,xy = yx}|}{|G|^2}.$$ 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.
    Keywords: Presentation of groups, Finite groups, commutativity degree
    Abstract View Paper Research/Original Article Original: English
  • Numerical solution of functional integral equations by using B-splines
    R. Firouzdor *, A. Heidarnejad Khoob, Z. Mollaramezani Pages 45-53

    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.

    Keywords: Lagrange interpolation, B-spline functions, Functional integral equation
    Abstract View Paper Research/Original Article Original: English