Ideal theory in  -semihyperrings

Document Type: Regular Paper

Authors

Department of Mathematics, Yazd University, Yazd, Iran

Abstract

The concept of

-semihyperring is a generalization of semiring, a generalization of semihyperring and a
generalization of
 
 
-semiring. Since the theory of ideals plays an important role in the theory of
-
semihyperring, in this paper, we will make an intensive study of the notions of Noetherian, Artinian, simple and
 
regular
 
 

-semihyperrings. The bulk of this paper is devoted to stating and proving analogues to several theorems
in the theory of
 
 

-semihyperrings.
 

Keywords