Semigroups and semigroup rings (Q2785948)
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scientific article; zbMATH DE number 983087
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semigroups and semigroup rings |
scientific article; zbMATH DE number 983087 |
Statements
27 February 1997
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ideal theory of semigroup ring
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PVMD
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PVD
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star-operations
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inert extensions
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cancellation ideals
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seminormality
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Semigroups and semigroup rings (English)
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Let \(S\) be a nonzero submonoid of an additive torsion-free abelian group, \(R\) a commutative ring with 1, and \(R[S]\) the semigroup ring of \(S\) over \(R\). In this paper, the author reports on some of his recent results concerning the ideal theory of \(S\) and \(R[S]\). Some of the ring-theoretic topics (together with semigroup versions for \(S)\) discussed include star-operations, inert extensions, cancellation ideals, seminormality, PVMDs and PVDs. More detailed accounts with proofs will appear elsewhere.NEWLINENEWLINEFor the entire collection see [Zbl 0855.00015].
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