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 …

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 …

N. Nobusawa [1] introduced the notion of a Γ-ring, more general than a ring, and proved
analogues of the Wedderburn-Artin theorems for simple Γ-rings and for semi-simple Γ-rings …

The notion of a Γ-ring was first introduced by Nobusawa. The class of Γ-rings contains not
only all rings but also Hestenes ternary rings. Recently, the author proved the following two …

Introduction. Throughout the paper, M stands for a F-ring, as defined by Barnes [1]. We shall
utilize thestandard notations and definitions in Barnes [1] and Hsu [2]. In [2] Hsu has …

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 …

ABSTRACT A notion of strongly prime is introduced for Γ-rings, and the class of strongly
prime Γ-rings is shown to be special. Let M be a Γ-ring with left and right operator rings L …

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 …

The notions of a general type of prime, primary and semiprime ideals namely g-prime, g-
primary and g-semiprime ideals in Γ-semiring are introduced and some of their properities …

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 …