Published 2011-09-27
Keywords
- \(h-\)pure submodule,
- \(h-\)dense submodule,
- \(h-\)divisible submodule,
- socle,
- Quasi-essential Submodule
- Cobounded summand,
- Basic submodule ...More
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How to Cite
Some Decomposition Theorems on \(QTAG\)-module. (2011). Scientia Series A: Mathematical Sciences, 23, 75-81. https://revistas.usm.cl/scientia/article/view/192
Abstract
It has been observed by different authors that \(QTAG\)-modules behave very much like torsion abelian groups. In this paper, in section 3, we characterize quasi-essential submodules (Theorem 3.9) and further find a characterization for an \(h-\)pure submodule to be a direct summand (Theorem 3.11). In section 4, we obtained a necessary and sufficient condition for a submodule to be contained in a minimal \(h-\)pure submodule (Theorem 4.3).
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