SELF-SMALL ABELIAN GROUPS

DOI10.1017/S0004972709000185zbMath1188.20065OpenAlexW1986843751MaRDI QIDQ3183139

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

Publication date: 19 October 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972709000185

zbMATH Keywords

self-small Abelian groupsessentially W-reduced groupsprojection conditionWALK-maps

Mathematics Subject Classification ID

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

Related Items (13)

On a theorem of Stelzer for some classes of mixed groups ⋮ Dualities for self–small groups ⋮ On cosmall Abelian groups. ⋮ Modules Over RM-Domains ⋮ A NOTE ON SELF-SMALL MODULES OVER RM-DOMAINS ⋮ A note on mixed \(A\)-reflexive groups. ⋮ \(sp\)-groups and their endomorphism rings ⋮ A note on direct products and \(\mathrm{Ext}^1\) contravariant functors. ⋮ A mixed version for a Fuchs' lemma ⋮ Unnamed Item ⋮ STRONGLY INVARIANT SUBGROUPS ⋮ The finite quasi-Baer property. ⋮ COMMUTING PROPERTIES OF EXT

Cites Work

• Finite rank torsion free Abelian groups and rings
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• The flat dimension of mixed abelian groups as \(E\)-modules
• A-Projective Resolutions and an Azumaya Theorem for a Class of Mixed Abelian 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
• Quotient divisible abelian groups
• Self-Small Abelian Groups as Modules over Their Endomorphism Rings
• Quasi-decompositions for Self-Small Abelian Groups

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