호남수학학술지 (Honam Mathematical Journal)

  • 제45권2호
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  • Pages.269-284
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  • 2023
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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PURE-DIRECT-PROJECTIVE OBJECTS IN GROTHENDIECK CATEGORIES

  • 투고 : 2022.09.29
  • 심사 : 2022.12.28
  • 발행 : 2023.06.01
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초록

In this paper we study generalizations of the concept of pure-direct-projectivity from module categories to Grothendieck categories. We examine for which categories or under what conditions pure-direct-projective objects are direct-projective, quasi-projective, pure-projective, projective and flat. We investigate classes all of whose objects are pure-direct-projective. We give applications of some of the results to comodule categories.

키워드

과제정보

The paper appears in the M.Sc. Thesis of the first author. The authors are grateful to the referee for carefully reading the paper and for useful suggestions which improved the presentation of the paper.

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