Purity and Self-Small Groups

DOI10.1080/00927870701509545zbMath1139.20050OpenAlexW2086183998MaRDI QIDQ5432616

William J. Wickless, Ulrich F. Albrecht, Simion Sorin Breaz

Publication date: 17 December 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701509545

zbMATH Keywords

endomorphismsmixed groupssmall groupsquotient divisible groupsself-small groupsflat modules over endomorphism rings

Mathematics Subject Classification ID

Extensions of abelian groups (20K35) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Mixed groups (20K21)

Related Items (5)

\(sp\)-groups and their endomorphism rings ⋮ A-Solvability and Mixed Abelian Groups ⋮ Unnamed Item ⋮ On quotient divisible group theory. I. ⋮ Autocompact objects of Ab5 categories

Cites Work

• Unnamed Item
• Finite rank torsion free Abelian groups and rings
• The flat dimension of mixed abelian groups as \(E\)-modules
• The finite quasi-Baer property.
• Homological Properties of Quotient Divisible Abelian Groups
• A-Projective Resolutions and an Azumaya Theorem for a Class of Mixed Abelian Groups
• Regular and principal projective endomorphism rings of mixed abelian groups
• Mixed Abelian Groups with Artinian Quasi-Endomorphism Ring
• Quotient divisible abelian groups
• Self-Small Abelian Groups as Modules over Their Endomorphism Rings
• Quasi-decompositions for Self-Small Abelian Groups
• Direct Sums of Quotient Divisible Groups

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