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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     author = {O. V. Ljubimtsev and A. Tuganbaev},
     title = {Centrally essential semirings},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {44--49},
     publisher = {mathdoc},
     volume = {219},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_219_a3/}
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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/