June 1, 2024Open Access

Construct ideal cotorsion pairs by recollement of triangulated categories

Key Points

Key points are not available for this paper at this time.

Abstract

Let (T', T, T'') be a recollement of triangulated categories. Two complete ideal cotorsion pairs in T' and T'' can be induced by a complete ideal cotorsion pair in T. If (I, I^) and (J, J^) are two complete ideal cotorsion pair in triangulated category, then (I, ^, J^) is also a complete ideal cotorsion pair. In this way, a series of ideal cotorsion pairs in T can be induced by two ideal cotorsion pairs in T' and T''.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Wang et al. (Sat,) studied this question.

synapsesocial.com/papers/68e67058b6db6435875fab6a https://doi.org/https://doi.org/10.48550/arxiv.2406.00417

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1$n$-cotorsion pairs and recollements of extriangulated categories2024
2Recollements and n-cotorsion pairs2026
3Recollements and $n$-cotorsion pairs2024
4A bijection between support $τ$-tilting subcategories and $τ$-cotorsion pairs in extriangulated categories2024
5Mutation of $n$-cotorsion pairs in triangulated categories2024

Bookmark

View Full Paper