Determination, up to near isomorphism, of countable-rank, block-rigid, local, almost completely decomposable groups of ring type with cyclic regulator quotient by their endomorphism rings in this class has been proved.
Endomorphism Ring Ring Type Homogeneous Component Direct Decomposition Canonical Decomposition
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.
D. Arnold, Finite Rank Torsion Free Abelian Groups and Rings, Lect. Notes Math., Vol. 931, Springer (1982).Google Scholar
E. Blagoveshchenskaya, “Automorphisms of endomorphism rings of a class of almost completely decomposable groups,” Fundam. Prikl. Mat., 10, No. 2, 23–50 (2004).MATHGoogle Scholar
E. Blagoveshchenskaya, “Direct decompositions of local almost completely decomposable groups of countable rank,” Chebyshevskiy Sb., 6, No. 4, 26–49 (2005).Google Scholar
E. Blagoveshchenskaya, “Dualities between almost completely decomposable groups and decomposable groups and their endomorphism rings,” J. Math. Sci., 131, No. 5, 5948–5961 (2005).MATHCrossRefMathSciNetGoogle Scholar
E. Blagoveshchenskaya, “Duality of the theory of almost completely decomposable groups and their endomorphism rings,” Nauchno-Techn. Vedomosti SPbGPU, 1, 69–72 (2006).Google Scholar
E. Blagoveshchenskaya, “The dual structure of almost completely decomposable groups and their endomorphism rings,” Russ. Math. Surv., 61, No. 2, 347–348 (2006).MATHCrossRefMathSciNetGoogle Scholar
E. Blagoveshchenskaya and R. Göbel, “Classification and direct decompositions of some Butler groups of countable rank,” Comm. Algebra, 30, No. 7, 3403–3427 (2002).MATHCrossRefMathSciNetGoogle Scholar
E. Blagoveshchenskaya, G. Ivanov, and P. Schultz, “The Baer-Kaplansky theorem for almost completely decomposable groups,” Contemp. Math., 273, 85–93 (2001).MathSciNetGoogle Scholar