Hereditary Noetherian prime rings. II: Finitely generated projective modules

DOI10.1006/jabr.1999.7885zbMath0946.16017OpenAlexW2080010603MaRDI QIDQ1306894

Lawrence S. Levy, J. Chris Robson

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7885

zbMATH Keywords

invariantsprojective modulescancellationsimple modulesgenusideal class groupsuniform dimensionhereditary Noetherian prime ringsSteinitz classesHNP ringsDedekind closuresstable isomorphisms

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Homological dimension in associative algebras (16E10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50)

Related Items (4)

Noetherian rings of injective dimension one which are orders in quasi-Frobenius rings. ⋮ Hereditary Noetherian prime rings. III: Infinitely generated projective modules ⋮ Extending and lifting of endomorphisms and automorphisms of modules over non-primitive HNP rings ⋮ Hereditary Noetherian prime rings. I: Integrality and simple modules

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