The Baer-Kaplansky theorem for a class of global mixed groups

DOI10.1216/RMJM/1181072075zbMath0862.20042OpenAlexW2056638392MaRDI QIDQ1815505

Steve T. Files, William J. Wickless

Publication date: 12 December 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol26-2/CONT26-2/CONT26-2.html

zbMATH Keywords

endomorphism ringsfinite torsion-free rank\(A_ 0\)-cyclic groupsBaer-Kaplansky theoremBaer-Kaplansky type theoremsglobal mixed Abelian groups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Mixed groups (20K21)

Related Items (10)

ON A CLASS OF MIXED GROUPS WITH SEMI-LOCAL WALK-ENDOMORPHISM RING ⋮ Direct Sums of Quotient Divisible Groups ⋮ Unnamed Item ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Direct sums of self-small mixed groups ⋮ Quasi-decompositions for Self-Small Abelian Groups ⋮ \(sp\)-groups and their endomorphism rings ⋮ A-Solvability and Mixed Abelian Groups ⋮ A category of matrices representing two categories of Abelian groups. ⋮ Self-small mixed abelian groupsGwithG/T(G) finite rank divisible

Cites Work

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• Endomorphisms of rank one mixed modules over discrete valuation rings
• Isomorphism of endomorphism algebras over complete discrete valuation rings
• Realizations of finite dimensional algebras over the rationals
• The flat dimension of mixed abelian groups as \(E\)-modules
• Abelian groups with endomorphic images of special types
• On generalized regular rings
• Representing Baer rings as endomorphism rings
• Isomorphisms of the Endomorphism Rings of a Class of Torsion-Free Modules
• Endomorphism Rings of Abelian Groups with Ample Divisible Subgroups
• Regular and principal projective endomorphism rings of mixed abelian groups
• Regular and Baer Rings

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