On natural sets on an idiom

被引：1
|
作者：
Sanchez-Hernandez, Jose Patricio [1 ]
机构：
[1] Univ Granada, Dept Algebra, Granada, Spain
来源：
COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 11期
关键词：
Idiom; frame; lattice; natural set; natural class; R-tors; semiartinian ring; semiartinian lattice;
D O I：
10.1080/00927872.2020.1777421
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce and develop the concept of natural set for an idiom (complete upper-continuous modular lattice), which is the analogous of the well-known natural classes of modules. For these natural sets, we generalize important results of the natural classes of modules, and get relevant information about the idiom. In particular, we characterize when the frame of nucleus on an idiom is Boolean. We also apply these results to classes of modules, proving whenR-torsandR-natare isomorphic, only studying the structure ofas an idiom, and its frame of nucleus.
引用
收藏
页码：5004 / 5025
页数：22
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