Baer–Kaplansky Classes in Grothendieck Categories and Applications

Septimiu Crivei; Derya Keskin Tütüncü

doi:10.1007/s00009-019-1368-0

Baer–Kaplansky Classes in Grothendieck Categories and Applications

Septimiu Crivei
, Derya Keskin Tütüncü

Division of Algebra and Number Theory

Babes-Bolyai University

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

4 Citations (Scopus)

Abstract

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].

Original language	English
Article number	90
Journal	Mediterranean Journal of Mathematics
Volume	16
Issue number	4
DOIs	https://doi.org/10.1007/s00009-019-1368-0
Publication status	Published - 1 Aug 2019

Keywords

Baer–Kaplansky class
Grothendieck category
exactly definable category
finitely accessible category
functor categories

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10.1007/s00009-019-1368-0

Cite this

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title = "Baer–Kaplansky Classes in Grothendieck Categories and Applications",

abstract = "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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AU - Keskin Tütüncü, Derya

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N2 - 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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KW - Baer–Kaplansky class

KW - Grothendieck category

KW - exactly definable category

KW - finitely accessible category

KW - functor categories

UR - https://www.scopus.com/pages/publications/85067697911

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DO - 10.1007/s00009-019-1368-0

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JO - Mediterranean Journal of Mathematics

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ER -

Baer–Kaplansky Classes in Grothendieck Categories and Applications

Abstract

Keywords

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