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St. Petersburg Mathematical Journal

ISSN 1547-7371(online) ISSN 1061-0022(print)

 

 

The module of pseudo-rational relations of a quotient divisible group


Author: A. V. Tsarev
Translated by: N. B. Lebedinskaya
Original publication: Algebra i Analiz, tom 22 (2010), nomer 1.
Journal: St. Petersburg Math. J. 22 (2011), 163-174
MSC (2010): Primary 20K99
DOI: https://doi.org/10.1090/S1061-0022-2010-01136-1
Published electronically: November 17, 2010
MathSciNet review: 2641085
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Abstract: It is proved that the module of pseudo-rational relations determines a quotient divisible group up to quasi-isomorphism.


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Additional Information

A. V. Tsarev
Affiliation: Moscow State Pedagogical Institute, Russia
Email: an-tsarev@yandex.ru

DOI: https://doi.org/10.1090/S1061-0022-2010-01136-1
Keywords: Abelian group, quotient divisible group, torsion-free group of finite rank, ring of pseudo-rational numbers
Received by editor(s): November 27, 2008
Published electronically: November 17, 2010
Article copyright: © Copyright 2010 American Mathematical Society