Baer-Kaplansky classes in categories: transfer via functors
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DOI: 10.1080/00927872.2020.1729785
Abstract: Abstract We study the transfer of Baer-Kaplansky classes via additive functors between preadditive categories. We show that the Baer-Kaplansky property is well behaved with respect to fully faithful functors, but not with respect to their… read more here.
Keywords: classes categories; kaplansky classes; categories transfer; transfer via ... See more keywords
D4-objects in abelian categories: Transfer via functors
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DOI: 10.1080/00927872.2021.1964516
Abstract: Abstract We study the transfer of D4 and dually C4 objects via functors between abelian categories. We also give applications to Grothendieck categories, comodule categories, (graded) module categories. read more here.
Keywords: objects abelian; via functors; transfer via; categories transfer ... See more keywords