English

Centrally Essential Rings and Semirings

Rings and Algebras 2022-05-31 v2

Abstract

This work is a review of results about centrally essential rings and semirings. A ring (resp., semiring) is said to be centrally essential if it is either commutative or satisfy the property that for any non-central element aa, there exist non-zero central elements xx and yy with ax=yax=y. The class of centrally essential rings is very large; many corresponding examples are given in the work

Keywords

Cite

@article{arxiv.2204.12127,
  title  = {Centrally Essential Rings and Semirings},
  author = {Askar Tuganbaev},
  journal= {arXiv preprint arXiv:2204.12127},
  year   = {2022}
}