A Study on Central Semirings

Abstract

The concept of the center plays a fundamental role in group theory, algebraic geometry, ring theory, and semiring theory. Extensive research has been devoted to the study of centers in semirings, resulting in significant contributions to the development of semiring theory. Motivated by the notion of the center of a semiring, we introduce the concept of a central semiring. The main objective of this paper is to investigate its structural properties of central semirings within the context of semiring theory and to derive several algebraic characterizations associated with them.