Geodesic
Centrally essential semirings
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 219 (2023), pp. 44-49.

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A semiring is said to be centrally essential if, for every nonzero element $x$, there exist nonzero central elements $y$ and $z$ such that $xy=z$. We give several examples of noncommutative centrally essential semirings and describe some properties of additively cancellative, centrally essential semirings.
Keywords: centrally essential semiring, additively cancellative semiring. 
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O. V. Ljubimtsev; A. Tuganbaev. Centrally essential semirings. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 219 (2023), pp. 44-49. http://geodesic.mathdoc.fr/item/INTO_2023_219_a3/

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