Multiplication Module and Retractable Concept

In this paper; we study a strong relation between faithful multiplication module and retractable concept. We proved that if M is faithful and cyclic, so is retractable. On the other hand, faithful injective Module with multiplication property gives retractable module. Also, finitely generated semi-s...

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Bibliographic Details
Published inJournal of Al-Qadisiyah for Computer Science and Mathematics Vol. 15; no. 2
Main Authors Jumaa, Hajer A., Abed, Majid Mohammed
Format Journal Article
LanguageEnglish
Published 25.09.2023
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Summary:In this paper; we study a strong relation between faithful multiplication module and retractable concept. We proved that if M is faithful and cyclic, so is retractable. On the other hand, faithful injective Module with multiplication property gives retractable module. Also, finitely generated semi-simple module over quasi-invariant ring is retractable module. Finally, some definitions, examples and properties have been presented about retractable module.
ISSN:2074-0204
2521-3504
DOI:10.29304/jqcm.2023.15.2.1245