Imbeddedness and direct sum of uniserial modules

Ayazul Hasan; Rafiquddin; Mohd Noman Ali

doi:10.5269/bspm.62192

Ayazul Hasan Jazan University
Rafiquddin Aligarh Muslim University https://orcid.org/0000-0001-6843-9798
Mohd Noman Ali Jazan University

Résumé

In this paper, we study a generalization of $h$-pure submodules as well as some other closely related concepts. Here, we examine the extent of this generalization in several ways. We then use this to give a characterization of the imbedded-complete modules. It is found that imbeddedness can considerably more abundant than $h$-purity on direct sum of uniserial modules.

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Biographie de l'auteur

Ayazul Hasan, Jazan University

Dr. Ayazul Hasan

Professor
Department of Mathematics,
Jazan University, KSA

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