NOETHERIAN UNIQUE FACTORIZATION SEMIGROUP ALGEBRAS |
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Abstract: | We investigate when semigroup algebras KS] of submonoids S of torsion free polycyclic-by-finite groups G are Noetherian unique factorization rings in the sense of Chatters and Jordan, that is, every prime ideal contains a principal height one prime ideal. For the group algebra KG] this problem was solved by Brown. |
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