Igusa-Todorov properties of recollements of abelian categories
Peiru Yang, Yajun Ma, Yu-Zhe Liu
TL;DR
This paper explores how Igusa-Todorov properties are preserved and related within recollements of abelian categories, with applications to Artin algebras and Morita context rings.
Contribution
It provides new insights into the behavior of Igusa-Todorov properties under recollements, extending understanding in abelian and algebraic contexts.
Findings
Igusa-Todorov distances are related in recollements
Recollement properties influence Igusa-Todorov invariants
Applications to Artin algebras and Morita rings
Abstract
In this paper, we investigate the behavior of Igusa-Todorov properties under recollements of abelian categories. In particular, we study how the Igusa-Todorov distances of the categories involved in a recollement are related. Applications are given to Artin algebras, especially to Morita context rings.
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Taxonomy
TopicsRings, Modules, and Algebras · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models