Isotypity and direct sum of countably generated modules

被引：0
|
作者：
Hasan, Ayazul [1 ]
Rafiquddin, Rafiquddin [2 ]
Hanzla, Mohd [2 ]
机构：
[1] Jazan Univ, Coll Appl Ind Technol, Jazan, Saudi Arabia
[2] Aligarh Muslim Univ, Fac Engn & Technol, Dept Appl Math, Aligarh 202002, India
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2025年
关键词：
QTAG-modules; isotype submodules; SUBMODULES;
D O I：
10.1515/gmj-2025-2006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we consider isotype submodules of those QTAG \mathrm{QTAG} -modules that have countable length and give an in-depth study of their basic and specific properties either in parallel or in contrast to the direct sum of countably generated modules. In addition, we also examine the QTAG \mathrm{QTAG} -modules whose h-pure submodules are direct sums of countably generated modules.
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