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The Ext functor and self-sums

  • Ulrich Albrecht EMAIL logo , Simion Breaz and Phill Schultz
Published/Copyright: February 21, 2012

Abstract.

The aim of this paper is to investigate the relationship between the Abelian groups G with Ext(G,G(κ))=0 and those satisfying Ext(G,G(κ))Ext(G,G)(κ) for various cardinals κ. In particular, we will give the structure of self-Ext-small groups. Our results answer several open problems, and give new proofs of known theorems concerning -splitters, tilting groups and finitely faithful S-groups.

MSC: 20K35; 20K40

Funding source: Romanian National Authority for Scientific Research, CNCS–UEFISCDI

Award Identifier / Grant number: PN-II-RU-TE-2011-3-0065

Received: 2011-11-23
Revised: 2012-1-23
Published Online: 2012-2-21
Published in Print: 2014-5-1

© 2014 by Walter de Gruyter Berlin/Boston

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