Some remarks on Lucas modules
Commutative Algebra
2023-02-28 v2
Abstract
In this paper, we discuss some properties on Lucas modules. In details, we show that direct and inverse limits of Lucas modules are Lucas modules, and every -module has a Lucas envelope and a Lucas cover. Moreover, some properties of direct and inverse limits of Lucas modules and some constructions and the unique mapping properties of Lucas envelopes and Lucas covers are investigated.
Cite
@article{arxiv.2206.05767,
title = {Some remarks on Lucas modules},
author = {Xiaolei Zhang and Guocheng Dai and Wei Qi},
journal= {arXiv preprint arXiv:2206.05767},
year = {2023}
}