The quasi-Baer-splitting property for mixed Abelian groups.

DOI10.1016/J.JPAA.2003.12.008zbMath1060.20045OpenAlexW1997898030MaRDI QIDQ1878434

Simion Sorin Breaz

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.12.008

zbMATH Keywords

endomorphism ringsquasi-decompositionsquasi-summandsBaer splitting propertyself-small Abelian groups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Direct sums, direct products, etc. for abelian groups (20K25) Mixed groups (20K21)

Related Items (2)

When every self-small module is finitely generated. ⋮ The finite quasi-Baer property.

Cites Work

• Endomorphism rings of faithfully flat Abelian groups
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• Quasi-decomposition of abelian groups and Baer's lemma
• The flat dimension of mixed abelian groups as \(E\)-modules
• Almost flat abelian groups
• Primary abelian groups as modules over their endomorphism rings
• Abelian groups flat as modules over their endomorphism ring
• A-Projective Resolutions and an Azumaya Theorem for a Class of Mixed Abelian Groups
• Direct Sums of Quotient Divisible Groups
• Finite extensions of \(A\)-solvable Abelian groups
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