Pure direct injective objects in grothendieck categories
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Abstract (EN)
We study generalizations of the concept of direct-injective (respectively pure-direct-injective) from module categories to abelian categories (respectively Grothendieck categories). We examine for which categories or under what conditions direct-injective objects are injective or quasi-injective. Also we examine for which categories or under what conditions pure-direct-injective objects are injective, quasi-injective, pure-injective or direct-injective. We investigate classes all of whose objects are direct-injective (respectively pure-direct-injective). We also give applications of some results to module categoried and comodule categories
Author
Aliye Yiğit
Institution
How to Cite
Aliye Yiğit (Master Thesis). Pure direct injective objects in grothendieck categories, 2022, Hacettepe University.
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