paper

Three homological invariants under cleft extensions

arXiv:2411.07804

Abstract

In this paper, we investigate the behavior of Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories. We apply our results to Morita context rings, trivial extension rings, tensor rings and arrow removals.

To appear in the Journal of Algebra

Three homological invariants under cleft extensions · wovepaper