• SEMIRINGS SATISFYING THE IDENTITIES
Abstract
In this paper, we study the properties of semirings satisfying the identity a + ab = b for all a, b in S. We establish that a + b = ab = b for all a, b in S if (S, ×) is band.
Keywords
Non-negatively ordered; Non-positively ordered; PRD; IMP; Mono semiring.
Full Text:
PDFThis work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |