Unique factorization in rings with right ACC1

DOI10.1017/S0017089500003591zbMath0406.16001OpenAlexW2159864847MaRDI QIDQ4192197

Hans-Heinrich Brungs

Publication date: 1978

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500003591

zbMATH Keywords

Ascending Chain Condition on Principal Right IdealsGeneralized AtomIrreduciblesLocal 2-FirsModular Factor LatticeUnique Factorization in RingsWeak Bezout Domains

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Integral domains (associative rings and algebras) (16U10)

Related Items (1)

Associative rings

Cites Work

• Left principal ideal rings
• Infinite Primes and Unique Factorization in a Principal Right Ideal Domain
• Generalized Discrete Valuation Rings
• Unnamed Item

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