scientific article

zbMath0446.16001MaRDI QIDQ3890834

Charudatta R. Hajarnavis, A. W. Chatters

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

serial ringsuniform dimensionessential right idealsGoldie's theoremArtin-Rees propertysemi-hereditary ringsinvertible idealfully bounded Noetherian ringsArtinian radical of a Noetherian ringK-theory of Noetherian ringsNoetherian quotient ringsNoetherian semiprime ringreduced rank of modulesrings with finite global dimensionRobson's theoremsemisimple Artinian ring of quotientssimple Noetherian rings with finite Krull 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) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02) Modules, bimodules and ideals in associative algebras (16Dxx)

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