<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2d1 20170631//EN" "JATS-journalpublishing1.dtd"> <ArticleSet> <Article> <Journal> <PublisherName>ijesm</PublisherName> <JournalTitle>International Journal of Engineering, Science and</JournalTitle> <PISSN>I</PISSN> <EISSN>S</EISSN> <Volume-Issue>volume12 issue 01</Volume-Issue> <PartNumber/> <IssueTopic>Multidisciplinary</IssueTopic> <IssueLanguage>English</IssueLanguage> <Season>January 2023</Season> <SpecialIssue>N</SpecialIssue> <SupplementaryIssue>N</SupplementaryIssue> <IssueOA>Y</IssueOA> <PubDate> <Year>2023</Year> <Month>01</Month> <Day>20</Day> </PubDate> <ArticleType>Engineering, Science and Mathematics</ArticleType> <ArticleTitle>CERTAIN REPRESENTATIONS ON SOFT M-N MODULO THEORY</ArticleTitle> <SubTitle/> <ArticleLanguage>English</ArticleLanguage> <ArticleOA>Y</ArticleOA> <FirstPage>66</FirstPage> <LastPage>76</LastPage> <AuthorList> <Author> <FirstName>R.Nagarajan 1</FirstName> <LastName/> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>N</CorrespondingAuthor> <ORCID/> <FirstName>A.Prabakaran2</FirstName> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>Y</CorrespondingAuthor> <ORCID/> </Author> </AuthorList> <DOI/> <Abstract>In this paper, we define a new concept, called soft intersection action (SI) on M- N module structures on a soft set. This new notions gathers soft set theory and near-ring modulo theory together and it shows how a soft set effects on M- N module structure in the mean of union and inclusion of sets. We then obtain its basic properties with illustrative examples and derive some analog of classical M-N module theoretic concepts for SI-action on M-N-module. Finally , we give the application of SI-actions on M-N module theory.</Abstract> <AbstractLanguage>English</AbstractLanguage> <Keywords>KEYWORDS: Soft set, near-ring, M-N module SI-action, M-N-ideal SI-action,?-inclusion, pre-image, soft anti- image. . AMS mathematics subject classification: 03E70, 58E40</Keywords> <URLs> <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=14306&title=CERTAIN REPRESENTATIONS ON SOFT M-N MODULO THEORY</Abstract> </URLs> <References> <ReferencesarticleTitle>References</ReferencesarticleTitle> <ReferencesfirstPage>16</ReferencesfirstPage> <ReferenceslastPage>19</ReferenceslastPage> <References/> </References> </Journal> </Article> </ArticleSet>