One-sided Gorenstein rings
Rings and Algebras
2023-11-14 v2
Abstract
Distinctive characteristics of Iwanaga--Gorenstein rings are typically understood through their intrinsic symmetry. We show that several of those that pertain to the Gorenstein global dimensions carry over to the one-sided situation, even without the noetherian hypothesis. Our results yield new relations among homological invariants related to the Gorenstein property, not only Gorenstein global dimensions but also the suprema of projective/injective dimensions of injective/projective modules and finitistic dimensions.
Cite
@article{arxiv.2308.13669,
title = {One-sided Gorenstein rings},
author = {Lars Winther Christensen and Sergio Estrada and Li Liang and Peder Thompson and Junpeng Wang},
journal= {arXiv preprint arXiv:2308.13669},
year = {2023}
}
Comments
Final version, to appear in Forum Math.; 28 pp