In this paper we introduce and study the concepts of semisimple gamma modules, regular
gamma modules and fully idempotent gamma modules as a generalization of semisimple …

Gamma Modules Page 1 Gamma Modules R. Ameri, R. Sadeghi Department of Mathematics,
Faculty of Basic Science University of Mazandaran, Babolsar, Iran e-mail: ameri@umz.ac.ir …

Semi-Prime Ideals of Gamma Rings Page 1 Annals of Pure and Applied Mathematics Vol. 1,
No. 2, 2012, 186-191 ISSN: 2279-087X (P), 2279-0888(online) Published on 16 October 2012 …

We define a prime Γ M-module for a Γ-ring M. It is shown that a subset P of M is a prime ideal
of M if and only if P is the annihilator of some prime Γ M-module G. s-prime ideals of M were …

In this paper, we introduce the concept of a commutative, simple, additive idempotent and
multiplicative Γ-idempotent Γ-semiring. Here we study the consequences of imposing some …

Regular Gamma Rings Page 1 Southeast Asian Bulletin of Mathematics (2007) 31: 933-947 o
IT , A . Bulletin of Mathematics ©SEAMS. 2007 Regular Gamma Rings Md. Mahbubur Rashid …

Let M and r be additive abelian groups. If for all a, byc^ M and a, ßj^ r> the conditions (1)
aab^ M, aaß^ T,(2)(a+ b) ac= aac+ bac, a (a+ ßs) b= aab+ aßb, aa (b+ c)= aab+ aac,(a+ ß) …

In this paper we extend the concept of injectivity from the category of modules to that gamma
modules. An module M is called injective if for any module B and submodule A of B, any …

Let $ R $ be a $\Gamma $-ring and $\partial $ be an $ R\Gamma $-module. A proper $
R\Gamma $-submodule. $ T $ of an $ R\Gamma $-module $\partial $ is called Z-prime …

The notion of a Γ-ring was introduced by N. Nobusawa. The class of Γ-rings contains not
only all rings but also Hestenes ternary rings. Recently, WE Barnes, J. Luh, WE Coppage …