Stable equivalence of matrices and resolutions

DOI10.1080/00927877808822323zbMath0389.16008OpenAlexW2020602838MaRDI QIDQ4170853

Robert B. jun. Warfield

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1080/00927877808822323

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Representation theory of associative rings and algebras (16Gxx)

Related Items (11)

Diagonalisation of idempotent matrices ⋮ The number of generators of a module over a fully bounded ring ⋮ Generating modules efficiently: Algebraic K-theory for noncommutative Noetherian rings ⋮ Power equivalence of presentations ⋮ Matrix equivalence and isomorphism of modules ⋮ The moore-penrose inverse of a matrix over a semi-simple artinian ring with respect to an involution ⋮ Strong shift equivalence and algebraic \(K\)-theory ⋮ Block diagonalization and $2$-unit sums of matrices over Prüfer domains ⋮ Equivalence of von Neumann regular and idempotent matrices ⋮ Elementary Divisor Theorem for Noncommutative Pids ⋮ Modules

Cites Work

• Unnamed Item
• Cancellation of modules and groups and stable range of endomorphism rings
• Algebras over zero-dimensional rings
• Stable structure of noncommutative Noetherian rings
• Matrices and pairs of modules
• Almost diagonal matrices over Dedekind domains
• Über den Zusammenhang zwischen dem Begriff der Gleichartigkeit zweier Ideale und dem Äquivalenzbegriff der Elementarteilertheorie
• Matrix equivalence and finite representation type

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