On Sylvester Rank Functions

DOI10.1112/JLMS/S2-43.2.199zbMath0729.16019OpenAlexW2085998848MaRDI QIDQ3353204

Sara Westreich

Publication date: 1991

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-43.2.199

zbMATH Keywords

coproductlocalizationtriangular matrix ringsimple Artinian ring(honest) homomorphismsfaithful K-ringsprojective rank functionssemisimple (Artinian) ringSylvester (projective) rank functions

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Endomorphism rings; matrix rings (16S50) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ore rings, multiplicative sets, Ore localization (16U20)

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