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- W2009096688 abstract "Let D be an integral domain with quotient field K . If α 2 − α ∈ D and α 3 − α 2 ∈ D imply α ∈ D for all elements α of K , then D is called a u-closed domain. A submonoid S of a torsion-free Abelian group is called a grading monoid. We consider the semigroup ring D [S] of a grading monoid S over a domain D . The main aim of this note is to determine conditions for D [ S ] to be u-closed. We shall show the following Theorem: D [ S ] is u-closed if and only if D is u-closed." @default.
- W2009096688 created "2016-06-24" @default.
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- W2009096688 date "1999-06-01" @default.
- W2009096688 modified "2023-09-24" @default.
- W2009096688 title "Note on U-closed semigroup rings" @default.
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- W2009096688 doi "https://doi.org/10.1017/s0004972700033153" @default.
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