Torsion-free groups and modules with the involution property.

DOI10.1016/J.JPAA.2005.11.006zbMath1109.20048OpenAlexW2057889836MaRDI QIDQ856339

N. E. Zubov

Publication date: 7 December 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arrow.dit.ie/cgi/viewcontent.cgi?article=1274&context=scschmatart

zbMATH Keywords

endomorphismsfree modulescompletely decomposable groupsclean ringsunit sum numbers\(p\)-adic modulesinvolution propertysums of automorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Projective and free modules and ideals in commutative rings (13C10) Morphisms of commutative rings (13B10) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (2)

A note on clean abelian groups. ⋮ \(k\)-good formal matrix rings of infinite order

Cites Work

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• On unit sum numbers of rational groups.
• Every endomorphism of a local Warfield module of finite torsion-free rank is the sum of two automorphisms.
• Sums of automorphisms of free modules and completely decomposable groups.
• Sums of automorphisms of a primary abelian group
• REPRESENTATION OF ALGEBRAS OVER A COMPLETE DISCRETE VALUATION RING
• Lifting Idempotents and Exchange Rings
• Strongly clean rings and fitting's lemma
• Exchange rings, units and idempotents
• Endomorphism Rings of Reduced Torsion-Free Modules Over Complete Discrete Valuation Rings
• A generalized group algebra for compact groups
• Endomorphism Rings Generated by Units
• Sums of Automorphisms of Free Abelian Groups and Modules
• Every Linear Transformation is a Sum of Nonsingular Ones
• Essentially indecomposable modules over a complete discrete valuation ring

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