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Ideal balanced pairs

Published:2020-03-05 Issue:04 Volume:20 Page:2150065
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Asadollahi Javad¹²,Hemat Sara¹,Vahed Razieh³

Affiliation:

1. Department of Mathematics, University of Isfahan, P. O. Box 81746-73441, Isfahan, Iran

2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran

3. Department of Mathematics, University of Khansar, 87916-85163, Khansar, Iran

Abstract

In this paper, ideal balanced pairs in an abelian category will be introduced and studied. It is proved that every ideal balanced pair gives rise to a triangle equivalence of relative derived categories. We define complete ideal cotorsion triplets and investigate their relation with ideal balanced pairs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498821500651

Reference16 articles.

1. Finitistic dimension and a homological generalization of semi-primary rings

2. On algebras of finite Cohen–Macaulay type

3. ALL MODULES HAVE FLAT COVERS

4. Homotopy equivalences induced by balanced pairs

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Ideal balanced pairs in extriangulated categories;Science China Mathematics;2024-04-22

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