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Ideal structure and semigroup domain decomposition of associate rings

✍ Scribed by Irving Sussman


Publisher
Springer
Year
1960
Tongue
English
Weight
520 KB
Volume
140
Category
Article
ISSN
0025-5831

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Right cones are semigroups with a left cancellation law such that for any two elements a, b there exists an element c with b s ac or a s bc. Valuation rings, cones of ordered or left ordered groups, semigroups of ordinal numbers, and Hjelmslev rings are examples. The ideal theory of these semigroups

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The theory of rings of quotients of a given ring has been developed by many authors including Asmo [ l ] , JOHNSON [6], UTUMI [ l l ] , and STENSTEOM [lo]. A corresponding theory of semigroups of quotients has been studied by BERTHUUME [3], MOMORRIS [8], and &KLE [6]. LUEDEMAN [7] has begun the deve