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- W4313306064 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 and the group algebra FGS of GS is centrally essential. The semigroup algebra of a cancellative semigroup is centrally essential if and only if it has a classical right ring of fractions which is a centrally essential ring. There exist non-commutative centrally essential semigroup algebras over fields of zero characteristic (this contrasts with the known fact that centrally essential group algebras over fields of zero characteristic are commutative)." @default.
- W4313306064 created "2023-01-06" @default.
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- W4313306064 date "2022-12-16" @default.
- W4313306064 modified "2023-09-24" @default.
- W4313306064 title "Centrally essential semigroup algebras" @default.
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- W4313306064 doi "https://doi.org/10.1080/00927872.2022.2158192" @default.
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