A classification of prime segments in simple artinian rings

DOI10.1090/S0002-9939-00-05440-XzbMath0988.16034MaRDI QIDQ4505866

E. Osmanagic, Hidetoshi Marubayashi, Hans-Heinrich Brungs

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

prime idealsideal latticesGoldie ringsDubrovin valuation ringsBézout orderstotal valuation ringssimple Artinian ringsdivisor groupsprime segmentsGoldie primeslocalizable primes

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

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