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Author:

Wang, Xi (Wang, Xi.) | Yao, Hailou (Yao, Hailou.) (Scholars:姚海楼) | Shen, Lei (Shen, Lei.)

Indexed by:

Scopus SCIE

Abstract:

Let ?? be a Grothendieck category, ? an infinite regular cardinal. We investigate the ?-purity of ??, and the ?-pure acyclic complexes in C(??). Using the ?-presentable objects, we verify that the class of ?-pure acyclic complexes is a thick subcategory of homotopy category. Then we construct ?-pure derived category naturally. Through some specific constructions, we get that bounded above ?-pure derived categories coincide with specific homotopy categories.

Keyword:

?-pure acyclic complex ?-pure derived category ?-Presentable object ?-pure projective object

Author Community:

  • [ 1 ] [Wang, Xi]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Yao, Hailou]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Wang, Xi]Sichuan Univ Arts & Sci, Coll Math, Dazhou 635000, Peoples R China
  • [ 4 ] [Shen, Lei]Sichuan Univ Arts & Sci, Coll Math, Dazhou 635000, Peoples R China

Reprint Author's Address:

  • [Yao, Hailou]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China;;

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Source :

JOURNAL OF ALGEBRA AND ITS APPLICATIONS

ISSN: 0219-4988

Year: 2023

Issue: 12

Volume: 23

0 . 8 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:9

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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