3 papers
math.RA2024
The Case for Inverse Semirings
Peter F. Faul, Amartya Goswami, Gideo Joubert +1
A semiring generalises the notion of a ring, replacing the additive abelian group structure with that of a commutative monoid. In this paper, we study a notion positioned between a…
math.AC2024
On semisubtractive ideals of semirings
Amartya Goswami
Our aim in this paper is to explore semisubtractive ideals of semirings. We prove that they form a complete modular lattice. We introduce Golan closures and prove some of their bas…
math.RA2024
On -ideals and -closure operations of semirings, I
Amartya Goswami
The aim of this series of papers is to study -ideals of semirings. In this article, we introduce some distinguished classes of -ideals of semirings, which include -prime,…