Centrally Essential Semirings
Rings and Algebras
2022-04-25 v1
Abstract
A semiring is said to be centrally essential if for every non-zero element , there exist two non-zero central elements with . We give some examples of non-commutative centrally essential semirings and describe some properties of additively cancellative centrally essential semirings.
Keywords
Cite
@article{arxiv.2204.10503,
title = {Centrally Essential Semirings},
author = {Oleg Lyubimtsev and Askar Tuganbaev},
journal= {arXiv preprint arXiv:2204.10503},
year = {2022}
}