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On essentially finitely indecomposable \( QTAG \)-modules

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Abstract

The results for abelian groups can be generalized for modules after imposing some conditions on modules/rings. Here the rings are almost restriction free and the \( QTAG \)-modules satisfy a simple condition. In this paper essentially finitely indecomposable modules are studied with the help of \(h\)-pure and nice submodules and socles. \(HT\)-modules were defined by Mehdi et al. (On \(HT\)-modules, To appear in GAMS, 2015) and here we investigate the relation between \(HT\)-modules and essentially finitely indecomposable modules.

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Acknowledgments

The author is extremely thankful to the referee for the expert suggestions which improved the presentation of the paper.

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  1. Department of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan, Kingdom of Saudi Arabia

    Ayazul Hasan

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  1. Ayazul Hasan
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Correspondence to Ayazul Hasan.

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Hasan, A. On essentially finitely indecomposable \( QTAG \)-modules. Afr. Mat. 27, 79–85 (2016). https://doi.org/10.1007/s13370-015-0318-7

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  • DOI: https://doi.org/10.1007/s13370-015-0318-7

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