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Commutative Semigroups in which Primary Ideals are Prime

✍ Scribed by M. Satyanarayana


Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
276 KB
Volume
48
Category
Article
ISSN
0025-584X

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πŸ“œ SIMILAR VOLUMES


Commutative Semigroups Which Are Semigro
✍ Kunitaka Shoji πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 371 KB

Ξ± -r e 2 s at , and bt β‰₯ Ξ± 2i-r e 2 Ξ± -r e 2 s at . Since Ξ± r e 1 a β‰₯ e 1 at, there exists v ∈ S such that at = Ξ± r e 1 av. Then e 1 sat . We can prove similarly the other inequations. Thus it follows from the equations above and Lemma 7(ii) that Ξ± 2i-r Ξ± -r e 2 s at = Ξ± 2i-r f 2 Ξ± -r f 2 s at . T

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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