STRONGLY EXTENDING MODULAR LATTICES

被引：0
|
作者：
Atani, Shahabaddin ebrahimi [1 ]
Khoramdel, Mehdi [1 ]
Hesari, Saboura dolati pish [1 ]
Alipour, Mahsa nikmard rostam [1 ]
机构：
[1] Univ Guilan, Dept Math, POB 1914, Rasht, Iran
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2025年 / 49卷 / 04期
关键词：
Modular lattice; upper continuous lattice; linear lattice morphism; fully invariant element; strongly extending lattice; OSOFSKY-SMITH THEOREM;
D O I：
10.46793/KgJMat2504.541A
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, our purpose is to initiate the study of the concept of strongly extending modular lattices based on the similar notion of strongly extending modules. We will prove some basic properties of strongly extending modular lattices and employ this results to give applications to the category of modules with a fixed hereditary torsion class and Grothendieck categories.
引用
收藏
页码：541 / 553
页数：13
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