Noetherian Rings of Finite Global Dimension

DOI10.1112/plms/s3-44.2.349zbMath0485.16008OpenAlexW2023141967MaRDI QIDQ3944729

A. B. MacEacharn, Kenneth A. Brown, Charudatta R. Hajarnavis

Publication date: 1982

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

Full work available at URL: http://wrap.warwick.ac.uk/107296/1/WRAP_Theses_MacEacharn_1980.pdf

zbMATH Keywords

nilpotent radicalreduced rankArtin-Rees propertydirect sum of prime ringsinvertible idealintersection of localisationsmatrix ring over integral domainnon-commutative Noetherian local ringsright Noetherian local ring of finite right global dimension

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative local and semilocal rings, perfect rings (16L30) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

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