On Indeterminacy (Neutrosophic ) of Hollow Modules

    In this paper, we formulate and study a new property, namely indeterminacy (neutrosophic) of the hollow module. We mean indeterminacy hollow module is neutrosophic hollow module B (shortly Ne(B)) such that it is not possible to specify the conditions for satisfying it.  Some concepts have been s...

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Bibliographic Details
Published inIraqi journal of science pp. 2650 - 2655
Main Author Abed, Majid Mohammed
Format Journal Article
LanguageEnglish
Published 30.06.2022
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Summary:    In this paper, we formulate and study a new property, namely indeterminacy (neutrosophic) of the hollow module. We mean indeterminacy hollow module is neutrosophic hollow module B (shortly Ne(B)) such that it is not possible to specify the conditions for satisfying it.  Some concepts have been studied and introduced, for instance, the indeterminacy local module, indeterminacy divisible module, indeterminacy indecomposable module and indeterminacy hollow-lifting module. Also, we investigate that if Ne(B) is an indeterminacy divisible module with no indeterminacy zero divisors, then any indeterminacy submodule Ne(K) of Ne(B) is an indeterminacy hollow module. Further, we study the relationship between the indeterminacy of hollow and indecomposable modules. Finally, conclusions and discussions for our obtained results are given.
ISSN:0067-2904
2312-1637
DOI:10.24996/ijs.2022.63.6.30