English

Further remarks on $z$-ideals of semirings

Rings and Algebras 2025-05-13 v1

Abstract

In this note, we revisit certain results from a previous work of the second author concerning zz-ideals of semirings. We demonstrate that the assumption of the semiring being a bzi-semiring can be dispensed with. Additionally, we propose a revised definition of the zz-radical that enables a more general formulation of results from the earlier work.

Keywords

Cite

@article{arxiv.2505.06360,
  title  = {Further remarks on $z$-ideals of semirings},
  author = {Ahmed Maatallah and Amartya Goswami},
  journal= {arXiv preprint arXiv:2505.06360},
  year   = {2025}
}