A class of hyperrings connected to preordered generalized Γ-rings. (February 2015)

• Record Type: Journal Article
• Authors: Jafarpour, M.; Aghabozorgi, H.; Davvaz, B.
• Is Part Of: European journal of combinatorics. Volume 44:Part B(2015)
• Page Start: 236
• Page End: 241
• Publication Date: 2015-02
• Subjects: Combinatorial analysis -- Periodicals; Analyse combinatoire -- Périodiques; Combinatorial analysis; Periodicals; Electronic journals; 511.6
• DOI: 10.1016/j.ejc.2014.08.009
• Languages: English
• ISSNs: 0195-6698

Abstract

Abstract: In this paper, we define the notion of preordered weak Γ -rings as a generalization of the concept of Γ -rings, the basic properties of prime ideals in weak Γ -rings are developed. At the end we construct a class of hyperrings in the sense of Rota from weak Γ -rings and also a connection between morphisms of the weak Γ -rings and the morphism of associated weak Γ -hyperrings has been investigated.