论文标题
关于卢卡斯模块的一些评论
Some remarks on Lucas modules
论文作者
论文摘要
在本文中，我们讨论了Lucas模块上的一些属性。从详细的角度来看，我们表明卢卡斯模块的直接和反向限制是卢卡斯模块，每个$ r $ $模块都有卢卡斯信封和卢卡斯封面。此外，研究了LUCAS模块的直接和反相反限制的某些特性以及一些构造以及Lucas信封和Lucas覆盖物的独特映射特性。
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.
