Strongly $\phi$-flat modules, strongly nonnil-injective modules and their homological dimensions
Commutative Algebra
2023-02-21 v5
Abstract
In this paper, we first introduce and study the notions of strongly -flat modules and strongly nonnil-injective modules. And then, we investigate the homology dimensions of modules and rings in terms of these two notions. Finally we give a new homological characterizations of -Dedekind rings and -\Prufer\ rings.
Cite
@article{arxiv.2211.14681,
title = {Strongly $\phi$-flat modules, strongly nonnil-injective modules and their homological dimensions},
author = {Xiaolei Zhang and Shiqi Xing and Wei Qi},
journal= {arXiv preprint arXiv:2211.14681},
year = {2023}
}
Comments
Add Theorem 1.8. arXiv admin note: text overlap with arXiv:2107.12643