Direct Decomposition Theory of Torsion-Free Abelian Groups of Finite Rank: Graph Method


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Abstract

Graphical direct decomposition theory of block-rigid almost completely decomposable groups with cyclic regulator quotient is substantiated and effectively applied to construction of a group with predicted set of its direct decompositions up to near isomorphism.

About the authors

E. Blagoveshchenskaya

Department of Mathematics; Department ofMathematics

Author for correspondence.
Email: kblag2002@yahoo.com
Russian Federation, Moskovskii pr. 9, St. Petersburg, 190031; ul. Politekhnicheskaya 29, St. Petersburg, 195251

D. Kunetz

Sidenis LLC

Email: kblag2002@yahoo.com
Russian Federation, ul. Sheremet’evskaya 13, St. Petersburg, 127521

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