For a submonoid S of a torsion-free abelian-by-finite group, we describe the height-one prime ideals of the semigroup algebra K S . As an application we investigate when such algebras are unique factorization rings. 2002 Elsevier Science (USA) Let S be a submonoid of a group. In this paper we inv
✦ LIBER ✦
On semigroup algebras satisfying polynomial identities
✍ Scribed by Jan Okniński
- Book ID
- 110560379
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 694 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0037-1912
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Using the trivial observation that one can get polynomial identities on \(R\) from the ones of \(M_{k}(R)\) we derive from the Amitsur-Levitzki theorem a subset of the identities on \(n \times n\) matrices, obtained recently by Szigeti, Tuza, and Révész starting from directed Eulerian graphs, which
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