Articles with "centrally essential" as a keyword



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Centrally essential semigroup algebras

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Published in 2022 at "Communications in Algebra"

DOI: 10.1080/00927872.2022.2158192

Abstract: Abstract For a cancellative semigroup S and a field F, it is proved that the semigroup algebra FS is centrally essential if and only if the group of fractions GS of the semigroup S exists… read more here.

Keywords: essential semigroup; semigroup; group; centrally essential ... See more keywords
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Centrally Essential Rings and Semirings

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Published in 2022 at "Mathematics"

DOI: 10.3390/math10111867

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… read more here.

Keywords: rings semirings; essential rings; centrally essential;