Reduced rank in Noetherian rings

DOI10.1016/0021-8693(79)90296-5zbMath0436.16009OpenAlexW2062668855MaRDI QIDQ1140701

A. W. Chatters, Alfred Goldie, Charudatta R. Hajarnavis, Thomas H. Lenagan

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90296-5

zbMATH Keywords

reduced rankprincipal ideal theoremartinian classical quotient ringfully bounded right noetherian ringH-ring

Mathematics Subject Classification ID

Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Rings with finite reduced rank, The principal ideal theorem in prime Noetherian rings, Internal characterizations of non-prime dedekind orders, Reduced rank and normalizing elements, Flat endofinite modules, prime ideals, and duality., On noncommutative bounded factorization domains and prime rings, Additive rank functions in Noetherian rings, Quotient rings and localization for Noetherian rings, Localisation and completions of Noetherian PI algebras, A note on the invertible ideal theorem, Relative krull dimension and prime ideals in right noetherian rings: an addendum, Non-commutative Cohen-Macaulay rings, Invertible ideals and existence of quotient rings, Piecewise noetherian rings, On reduced rank of triangular matrix rings, A note on Jacobson's conjecture for right Noetherian rings, Modules

Cites Work

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