Let n 2 N. An additive map h : A --> B between algebras A and B is called
n-Jordan homomorphism if h(an) = (h(a))n for all a 2 A. We show that every n-Jordan ho-
momorphism 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.
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.
Let R be a prime ring with extended centroid C, H a generalized derivation
of R and n ⩾ 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 2 R; (2) obtain some related result in case R is a noncommutative
Banach algebra and H is continuous or spectrally bounded.
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 coefficients and cubic and second- level equations.
Let L := U3(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:S3 is 5-fold OD-characterizable.
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.
For a nite group G the commutativity degree denote by d(G) and dend:
d(G) =
jf(x; y)jx; y 2 G; xy = yxgj
jGj2
:
In [2] authors found commutativity degree for some groups,in this paper we nd commuta-
tivity degree for a class of groups that have high nilpontencies.
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.