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- Title
On the socles of isotype and balanced submodules.
- Authors
Sikander, Fahad; Begam, Firdhousi; Fatima, Tanveer
- Abstract
In this paper, we define a condition termed as cohesiveness on a submodule N of the socle of QTAG-module M, which is necessary for N to be the socle of an isotype submodule of M. It is proved here that for the countably generated submodule N, this condition is both necesaary and sufficient. We further define a restricted condition called as completely cohesiveness and shows that this condition is necessary and sufficient for a subsocle T of a QTAG-module which supports a balanced submodule of M.
- Publication
Umm Al-Qura University Journal of Applied Sciences (Springer Nature), 2024, Vol 10, Issue 1, p102
- ISSN
2731-6734
- Publication type
Article
- DOI
10.1007/s43994-023-00082-1