Extension of Primary and Semiprimary Bi-Ideals of Semirings

Abstract

The 1PBID, 2PBID, and 3PBID of semirings are introduced. Additionally, we communicate with a number of the various SPBIs’ attributes. 2PBID and 3PBID are generalizations of 1PBID and 2PBID, respectively, which we explain. We go over the m1, m2 and m3-systems and BI generator. It is possible to generalize the m1-system to the m2-system and the m2-system to the m3-system.