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http://dx.doi.org/10.7468/jksmeb.2022.29.3.207

HEART AND COMPLETE PARTS OF (R, S)-HYPER BI-MODULE  

Nooranian, M. (Department of Mathematical Sciences, Yazd University)
Davvaz, B. (Department of Mathematical Sciences, Yazd University)
Publication Information
The Pure and Applied Mathematics / v.29, no.3, 2022 , pp. 207-230 More about this Journal
Abstract
In this article, we investigate several aspects of (R, S)-hyper bi-modules and describe some their properties. The concepts of fundamental relation, completes part and complete closure are studied regarding to (R, S)-hyper bi-modules. In particular, we show that any complete (R, S)-hyper bi-module has at least an identity and any element has an inverse. Finally, we obtain a few results related to the heart of (R, S)-hyper bi-modules.
Keywords
bi-module; (R, S)-hyper bi-module; fundamental relation; complete part;
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