On Posner’s second theorem for semirings with involution

Abstract

EC Posner [14] proved a commutativity result known as Posner’s second theorem for a derivation centralizing on a prime ring. In this paper we prove some results for *-Jordan ideals of MA-semirings with involution. Main objective of this paper is to prove the aforesaid result for *-prime MA-semirings.

Subject Classification:

• Primary 16Y60
• Secondary 16W10

Keywords:

• Posner’s second theorem
• MA-semirings
• *-Prime semirings
• *-Jordan ideals