Grothendieck rings for certain categories of quasihomomorphisms of torsion free modules over Dedekind domains

DOI10.1016/0021-8693(82)90080-1zbMath0509.13013OpenAlexW1984488648MaRDI QIDQ1838526

E. L. Lady

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90080-1

zbMATH Keywords

categories of quasihomomorphismsKrull-Schmidt Grothendieck ringtorsion free modules over Dedekind domain

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Other special types of modules and ideals in commutative rings (13C13) Grothendieck groups, (K)-theory and commutative rings (13D15) Categories of spans/cospans, relations, or partial maps (18B10)

Related Items (2)

The integral closure of \({\mathbb{Z}}\) in the Grothendieck ring for quasi- isomorphism classes of finite rank torsion free modules over a Dedekind domain ⋮ Warfield duality and rank-one quasi-summands of tensor products of finite rank locally free modules over Dedekind domains

Cites Work

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• Torsion-free rings
• Splitting fields for torsion-free modules over discrete valuation rings. II
• Homomorphisms and duality for torsion-free groups
• Note on extensions of Abelian groups by primary groups
• Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups
• A Class of Torsion-Free Abelian Groups of Finite Rank

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