scientific article; zbMATH DE number 1538988

zbMath0976.16012MaRDI QIDQ4519442

Barbara L. Osofsky

Publication date: 19 April 2001

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

zbMATH Keywords

projective dimensionexact sequencesvon Neumann regular ringslattice invariantstorsionfree modulescoherent modulescategories of right modulesdirect sums of finitely generated submodulesordinal valued invariantssemihereditary modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Growth rate, Gelfand-Kirillov dimension (16P90) 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) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

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