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Centrally Essential Semirings

A semiring is said to be centrally essential if for every non-zero element $x$, there exist two non-zero central elements $y, z$ with $xy = z$. We give some examples of non-commutative centrally essential semirings and describe some properties of additively cancellative centrally essential semirings.

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Co-authorshipAuthorshipAuthorshipTopic signalWCentrally Essential Semiringspreprint / 2022AOleg LyubimtsevResearcherAAskar TuganbaevResearcherTmath.RA2176 works
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Centrally Essential Semirings

preprint / 2022

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