QTAG-modules having all high submodules relative closure
Abstract
This article is concerned with the investigation of two questions. The first question is: What QTAG-modules M with M1=0 are direct summands of all QTAG-modules containing them as high submodules? The second question is the following: What are the submodules whose relative closures are large submodules? In addition, a necessary and sufficient condition for a submodule to be h-pure-absolute summand is obtained.
- Published
- 24 February 2026
- Volume
- 2026 (2026)
- License
- CC BY 3.0
Copyright © 2026 Ayazul Hasan, Mohd Noman Ali, Vinit Kumar Sharma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. Hasan, M. N. Ali, V. K. Sharma, QTAG-modules having all high submodules relative closure, Algebra Lett. 2026 (2026), 1. https://doi.org/10.28919/al/9580
BibTeX
@article{Hasan2026,
author = {Hasan, Ayazul and Ali, Mohd Noman and Sharma, Vinit Kumar},
title = {QTAG-modules having all high submodules relative closure},
journal = {Algebra Lett.},
volume = {2026},
year = {2026},
pages = {1},
doi = {10.28919/al/9580}
}