ON A CLASS OF MIXED GROUPS WITH SEMI-LOCAL WALK-ENDOMORPHISM RING

DOI10.1081/AGB-120013333zbMath1014.20027OpenAlexW2017504151MaRDI QIDQ4792646

Simion Sorin Breaz

Publication date: 22 April 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120013333

zbMATH Keywords

Krull-Schmidt categoriesmixed Abelian groupsquasi-homomorphismsself-small groupssemi-local endomorphism ringsidemsplit categoriesstrongly reduced groupsWALK category

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Mixed groups (20K21)

Related Items (8)

Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Quasi-decompositions for Self-Small Abelian Groups ⋮ Self-Small Abelian Groups as Modules over Their Endomorphism Rings ⋮ Isomorphisms of endomorphism semigroups of mixed abelian groups ⋮ \(sp\)-groups and their endomorphism rings ⋮ A mixed version for a Fuchs' lemma ⋮ Modules over discrete valuation domains. II

Cites Work

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• Finite rank torsion free Abelian groups and rings
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• The Baer-Kaplansky theorem for a class of global mixed groups
• The flat dimension of mixed abelian groups as \(E\)-modules
• Direct sums of self-small mixed groups
• Self-small mixed abelian groupsGwithG/T(G) finite rank divisible
• Regular and principal projective endomorphism rings of mixed abelian groups
• Mixed Abelian Groups with Artinian Quasi-Endomorphism Ring

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