Zero-divisors in completions of non-commutative rings

DOI10.1007/BF02808076zbMath0784.16025OpenAlexW1999670637MaRDI QIDQ1802793

David A. Jordan

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808076

zbMATH Keywords

maximal idealcompletionNoetherian ringzero divisorregular normal element

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

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• Completions of Noetherian P.I. rings
• I-adic completions of non-commutative rings
• Normal Elements and Completions of Non-Commutative Noetherian Rings
• Normalizing Sequences and Completions of Non-Commutative Noetherian Rings
• Integrality of I-adic completions
• Note on Non-Commutative Semi-Local Rings
• Local Rings and Normalizing Sets of Elements

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