2022/04/26 by Tuganbaev, Askar
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2204.12127
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 a, there exist non-zero central elements x and y with ax=y. The class of centrally essential rings is very large; many corresponding examples are given in the work