Cobalanced Extensions of a Torsion-Free Module by a Torsion Module Over an Integral Domain

DOI10.1080/00927870802103941zbMath1152.13009OpenAlexW2142477893MaRDI QIDQ3529054

Anthony J. Giovannitti, H. Pat Goeters

Publication date: 20 October 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802103941

zbMATH Keywords

torsion-free moduledomaintorsion modulecompletely decomposablepure submoduleButler modulevector modulecobalanced extension

Mathematics Subject Classification ID

Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Other special types of modules and ideals in commutative rings (13C13) Torsion modules and ideals in commutative rings (13C12)

Cites Work

• 1-dimensional Cohen-Macaulay rings
• Note on the extensions of Butler groups
• Prebalanced and Balanced Sequences of Modules over Domains
• Torsion-Free Modules and Diagrams of Vector Spaces
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