Graded and filtered rings and modules

zbMath0418.16001MaRDI QIDQ755643

Constantin Năstăsescu, Freddy M. J. van Oystaeyen

Publication date: 1979

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

torsion theoriesKrull dimensionprincipal ideal domainsgraded division ringsAzumaya algebras over polynomial ringsGoldie's theoremgraded and filtered ringsgraded local ringshomological and weak dimensionrings of fractions

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graded rings and modules (associative rings and algebras) (16W50) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Regular local rings (13H05) 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) Division rings and semisimple Artin rings (16Kxx)

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