The ext functor and self-sums

U.F. Albrecht; S. Breaz; Phill Schultz

doi:10.1515/forum-2011-0141

The ext functor and self-sums

U.F. Albrecht, S. Breaz, Phill Schultz

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The aim of this paper is to investigate the relationship between the Abelian groups G with Ext(G,G(κ)) D 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. © de Gruyter 2014.

Original language	English
Pages (from-to)	851-862
Journal	Forum Mathematicum
Volume	26
Issue number	3
DOIs	https://doi.org/10.1515/forum-2011-0141
Publication status	Published - 2014

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AU - Albrecht, U.F.

AU - Breaz, S.

AU - Schultz, Phill

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AB - The aim of this paper is to investigate the relationship between the Abelian groups G with Ext(G,G(κ)) D 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. © de Gruyter 2014.

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SP - 851

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JO - Forum Mathematicum

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The ext functor and self-sums

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