Imbeddedness and direct sum of uniserial modules. (English) Zbl 07905303
Summary: 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.
MSC:
| 16K20 | Finite-dimensional division rings |
| 13C12 | Torsion modules and ideals in commutative rings |
| 13C13 | Other special types of modules and ideals in commutative rings |
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