The homological dimension of a torsion-free Abelian group of finite rank as a module over its ring of endomorphisms

zbMath0404.20045MaRDI QIDQ1256567

H. W. K. Angad-Gaur

Publication date: 1977

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1977__57__299_0

zbMATH Keywords

Module over Its Endomorphism RingProjective Dimension of An Abelian GroupReduced Torsion-Free Abelian Group of Finite Rank

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological dimension in associative algebras (16E10) Homological and categorical methods for abelian groups (20K40) Torsion-free groups, finite rank (20K15) Homological methods in associative algebras (16Exx)

Related Items (1)

Endomorphism rings of modules and lattices of submodules

Cites Work

• The homological dimension of an Abelian group as a module over its ring of endomorphisms
• Homological Dimension of Abelian Groups over their Endomorphism Rings
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
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