0. Introduction. In this paper we study the structure of a strongly 2-graded ring R, ie R a 8 Rn
with RnRm= Rn+ mforn, m CZ, in case R is an order in an EZ simple Artinian ring. The term …

In this article, we develop some important results relating to the concepts of generalized k-
derivation and Jordan generalized k-derivation of certain gamma rings. Though every …

1. Introduction. A ring R is called a graded ring ff there are subgroups R0, R~,... of the
additive group of R such that R is the (weak) direct sum of these subgroups and R~ Rj CR~+ …

This paper deals with the graded commutative rings in which every homogeneous prime
ideal is contained in a unique homogeneous maximal ideal called Gelfand graded ring. The …

Let G be a finite group and R a strongly G-graded ring. The question of when R is
semisimple (meaning in this paper semisimple artinian) has been studied by several …

In the study of the Brauer group, Br (D), of a commutative ring D, the subgroup Br (S/D),
consisting of the classes a E Br (D) split by the ringextension S of D, play, a fundamental …

This article is based on some derivations of certain gamma rings. Giving the definitions of k-
derivation and Jordan k-derivation of a gamma ring as well as that of certain gamma rings …

In some recent papers by the first two authors it was shown that for any algebraic crossed
product A, where A_0, the subring in the degree zero component of the grading, is a …

Let M be a 2‐torsion free prime Γ‐ring satisfying the condition a α b β c= a β b α c,∀ a, b, c∈
M and α, β∈ Γ, U be an admissible Lie ideal of M and F=(fi) i∈ N be a generalized higher …

Throughout this paper, all rings are assumed to be commutative with identity. Let $ G $ be
an Abelian group. We say that a ring $ R $ is a G-graded ring, if there exists a family $\{R …