Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 219, Pages 60–130
DOI: https://doi.org/10.36535/0233-6723-2022-219-60-130 (Mi into1110) 		 
Centrally essential rings and semirings

A. Tuganbaevab

a Lomonosov Moscow State University
b National Research University "Moscow Power Engineering Institute"
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DOI: https://doi.org/10.36535/0233-6723-2022-219-60-130
Abstract: 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, module, ideal.
Funding agency Grant number
Russian Science Foundation 22-11-00052
The work was supported by the Russian Science Foundation, project no. 22-11-00052.
Document Type: Article
UDC: 512.5
MSC: 16R99, 20K30
Language: Russian
Citation: A. Tuganbaev, “Centrally essential rings and semirings”, Algebra, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 219, VINITI, Moscow, 2023, 60–130
Citation in format AMSBIB
\Bibitem{Tug23}
\by A.~Tuganbaev
\paper Centrally essential rings and semirings
\inbook Algebra
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 219
\pages 60--130
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1110}
\crossref{https://doi.org/10.36535/0233-6723-2022-219-60-130}
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