Baer–Kaplansky Classes in Grothendieck Categories and Applications

Baer–Kaplansky Classes in Grothendieck Categories and Applications

We study Baer–Kaplansky classes in Grothendieck categories. We apply our results to functor categories, and discuss the transfer of the Baer–Kaplansky property to finitely accessible additive categories, exactly definable additive categories and categories σ [ M ] .

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Veröffentlicht in:Mediterranean journal of mathematics 2019-08, Vol.16 (4), p.1-17, Article 90
Hauptverfasser: Crivei, Septimiu, Keskin Tütüncü, Derya
Format: Artikel
Sprache:eng
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Mathematics
Mathematics and Statistics
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Zusammenfassung:We study Baer–Kaplansky classes in Grothendieck categories. We apply our results to functor categories, and discuss the transfer of the Baer–Kaplansky property to finitely accessible additive categories, exactly definable additive categories and categories σ [ M ] .
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-019-1368-0