On commutativity of quotient semirings through generalized derivations

Abstract

This research article aims to study quotient MA-semirings determined by the prime ideals. Derivations are important tools to study algebraic structures. We establish some theorems on commutativity of quotient MA-semirings under certain differential identities. Results of this paper are extensions of many well known facts of this topic.

Keywords

• ma-semirings
• generalized derivations
• prime ideals
• $ q $-ideals