On QTAG-Modules Having All N-High Submodules h-Pure

Ayazul Hasan; Jules Clement Mba

doi:10.3390/math10193523

On QTAG-Modules Having All N-High Submodules h-Pure

Ayazul Hasan, Jules Clement Mba

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The paper is concerned with h-pure-N-high submodules of (Formula presented.) -modules. Here, we characterize the submodules N of an h-reduced (Formula presented.) -module for which all h-pure-N-high submodules are bounded. We also discuss some interesting properties of subsocles and consequently give a characterization of the direct sum of uniserial modules.

Original language	English
Article number	3523
Journal	Mathematics
Volume	10
Issue number	19
DOIs	https://doi.org/10.3390/math10193523
Publication status	Published - Oct 2022
Externally published	Yes

Keywords

QTAG-modules
h-pure submodules
subsocles

ASJC Scopus subject areas

Computer Science (miscellaneous)
General Mathematics
Engineering (miscellaneous)

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10.3390/math10193523

Cite this

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abstract = "The paper is concerned with h-pure-N-high submodules of (Formula presented.) -modules. Here, we characterize the submodules N of an h-reduced (Formula presented.) -module for which all h-pure-N-high submodules are bounded. We also discuss some interesting properties of subsocles and consequently give a characterization of the direct sum of uniserial modules.",

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AB - The paper is concerned with h-pure-N-high submodules of (Formula presented.) -modules. Here, we characterize the submodules N of an h-reduced (Formula presented.) -module for which all h-pure-N-high submodules are bounded. We also discuss some interesting properties of subsocles and consequently give a characterization of the direct sum of uniserial modules.

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KW - subsocles

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On QTAG-Modules Having All N-High Submodules h-Pure

Abstract

Keywords

ASJC Scopus subject areas

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