Centrally Essential Rings and Semirings

Askar Tuganbaev
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Askar Tuganbaev: Department of Higher Mathematics, National Research University ‘MPEI’, Krasnokazarmennaya Street 14, 111250 Moscow, Russia

Mathematics, 2022, vol. 10, issue 11, 1-74

Abstract: This paper is a survey of results on centrally essential rings and semirings. A ring (respectively, semiring) is said to be centrally essential if it is either commutative or satisfies 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.

Keywords: centrally essential ring; centrally essential group algebra; centrally essential semiring (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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