Geodesic
Centrally essential rings and semirings
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 219 (2023), pp. 60-130

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In this survey, we systematically examine rings and semirings that are either commutative or satisfy the following condition: for any noncentral element $a$, there exist nonzero central elements $x$ and $y$ such that $ax=y$.
Keywords: ring, associative ring, commutative ring, centrally essential ring, group algebra, ideal.
Mots-clés : module 
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     author = {A. Tuganbaev},
     title = {Centrally essential rings and semirings},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {60--130},
     publisher = {mathdoc},
     volume = {219},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_219_a6/}
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A. Tuganbaev. Centrally essential rings and semirings. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 219 (2023), pp. 60-130. http://geodesic.mathdoc.fr/item/INTO_2023_219_a6/