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arXiv · 2206.05767

Some remarks on Lucas modules

Xiaolei Zhang·Guocheng Dai·Wei Qi
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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 $R$-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.

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Xiaolei Zhang, Guocheng Dai, Wei Qi. 2022-06-12. Some remarks on Lucas modules. https://arxiv.org/abs/2206.05767

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