The ext functor and self-sums

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

    Research output: Contribution to journalArticlepeer-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 languageEnglish
    Pages (from-to)851-862
    JournalForum Mathematicum
    Volume26
    Issue number3
    DOIs
    Publication statusPublished - 2014

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