Work

Dimensions and cotorsion pairs in recollements of extriangulated categories

Year: 2024

Type: article

Abstract: Let (A,B,C) be a recollement of extriangulated categories. In this paper, we provide bounds on the coresolution dimensions of the subcategories involved in A, B, and C. We show that a hereditary cotorsion pair in B can induce hereditary cotorsion pairs in A and C under certain conditions. Besides, we construct recollements of abelian categories from a recollement of extriangulated categories with respect to the hearts of cotorsion pairs.

Source: Communications in Algebra

DOI: 10.1080/00927872.2024.2374436

Authors: Xin Ma, Panyue Zhou

Institutions: Henan University of Engineering, Changsha University of Science and Technology

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hunan Province, Henan University

Awards: G2271735553, G2371533072, G5184939875