Publicado 2012-05-04
Palabras clave
- \(h-\)dense submodule,
- almost \(h-\)dense submodule,
- \(h-\)pure submodule,
- \(h-\)neat Submodule,
- \(h-\)pure hull.
Derechos de autor 2025 Scientia
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.
Cómo citar
On \(h-\)Purifiable Submodule of \(QTAG-\)module. (2012). Scientia, 22, 19-25. https://revistas.usm.cl/scientia/article/view/174
Resumen
Different concept and decomposition theorems have been done for \(QTAG-\)modules by a number of authors. The concept of quasi \(h\)-pure submodules were introduced and different characterizations were obtained in [5]. The purpose of this paper is to obtain the relation between purifiability of a submodule and quasi \(h\)-pure submodules. Further we obtained results which shows that purifiability of a submodule is very much dependent on the purifiability of a \(h\)-pure and \(h\)-dense submodule of the given submodule.
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