Chouinard's formula for $C$-quasi-injective dimension
Commutative Algebra
2026-05-28 v2
Abstract
The -quasi-injective dimension is a recently introduced homological invariant that unifies and extends the notions of quasi-injective dimension and of injective dimension with respect to a semidualizing module, previously studied by Gheibi and by Takahashi and White, respectively. In the main results of this paper, we provide extensions of the Bass' formula and a version of the Chouinard's formula for modules of finite -quasi-injective dimension over an arbitatry ring.
Cite
@article{arxiv.2511.00684,
title = {Chouinard's formula for $C$-quasi-injective dimension},
author = {Paulo Martins},
journal= {arXiv preprint arXiv:2511.00684},
year = {2026}
}
Comments
11 pages. Some typos have been corrected. The title has been revised. Minor improvements have been made to Proposition 3.1 and Corollary 3.4