Patch-continuity of normalized ranks of modules over one-sided Noetherian rings

DOI10.2140/PJM.1986.122.83zbMath0549.16006OpenAlexW2084212937MaRDI QIDQ800453

Kenneth R. Goodearl

Publication date: 1985

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.122.83

zbMATH Keywords

continuity theoremprime spectrumpatch topology\(K_ 0\)composition series lengthnormalized ranks of finitely generated modules at prime idealsnumber of generatorone-sided Noetherian ringsright Goldie quotient ring

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Representation theory of associative rings and algebras (16Gxx)

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Non-commutative regular local rings of dimension 2 ⋮ On strongly πregular rings and homomorphisms into them

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