Non-commutative UFD's are often PID's

DOI10.1017/S0305004100061727zbMath0541.16002OpenAlexW2017701969MaRDI QIDQ3328681

Martha K. Smith, Martin Philip Gilchrist

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1017/s0305004100061727

zbMATH Keywords

principal ideal domainNoetherian domaincompletely primeheight one primenon-commutative Noetherian UFD

Mathematics Subject Classification ID

Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Integral domains (associative rings and algebras) (16U10) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (7)

On the semi-center of a universal enveloping algebra ⋮ Non-commutative Noetherian Unique Factorization Domains often have stable range one ⋮ Simplicity of noncommutative Dedekind domains ⋮ Polycyclic group rings and unique factorisation rings ⋮ Unique factorisation rings ⋮ An infinite construction in ring theory ⋮ Factorizations of Elements in Noncommutative Rings: A Survey

Cites Work

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