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New definition of MV-semimodules
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Goraghani, Simin Saidi | - |
| dc.contributor.author | Borzooei, Rajab Ali | - |
| dc.contributor.author | Ahn, Sun Shin | - |
| dc.date.accessioned | 2023-04-27T19:40:57Z | - |
| dc.date.available | 2023-04-27T19:40:57Z | - |
| dc.date.issued | 2021 | - |
| dc.identifier.issn | 1064-1246 | - |
| dc.identifier.issn | 1875-8967 | - |
| dc.identifier.uri | https://scholarworks.dongguk.edu/handle/sw.dongguk/5621 | - |
| dc.description.abstract | In recent years, A. Di Nola et al. studied the notions of MV-semiring and semimodules and investigated related results [9, 10, 12, 26]. Now in this paper, by using an MV-semiring and an MV-algebra, we introduce the new definition of MV-semimodule, study basic properties and find some examples. Then we study A-ideals on MV-semimodules and Q-ideals on MV-semirings, and by using them, we study the quotient structures of MV-semimodule. Finally, we present the notions of prime A-ideal, torsion free MV-semimodule and annihilator on MV-semimodule and we study the relations among them. | - |
| dc.format.extent | 12 | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | IOS PRESS | - |
| dc.title | New definition of MV-semimodules | - |
| dc.type | Article | - |
| dc.publisher.location | 네델란드 | - |
| dc.identifier.doi | 10.3233/JIFS-211130 | - |
| dc.identifier.scopusid | 2-s2.0-85115437724 | - |
| dc.identifier.wosid | 000697340200079 | - |
| dc.identifier.bibliographicCitation | JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v.41, no.2, pp 3715 - 3726 | - |
| dc.citation.title | JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | - |
| dc.citation.volume | 41 | - |
| dc.citation.number | 2 | - |
| dc.citation.startPage | 3715 | - |
| dc.citation.endPage | 3726 | - |
| dc.type.docType | Article | - |
| dc.description.isOpenAccess | N | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Computer Science | - |
| dc.relation.journalWebOfScienceCategory | Computer Science, Artificial Intelligence | - |
| dc.subject.keywordPlus | IDEALS | - |
| dc.subject.keywordPlus | ALGEBRAS | - |
| dc.subject.keywordAuthor | MV-semiring | - |
| dc.subject.keywordAuthor | MV-algebra | - |
| dc.subject.keywordAuthor | MV-module | - |
| dc.subject.keywordAuthor | MV-semimodule | - |
| dc.subject.keywordAuthor | Q-ideal | - |
| dc.subject.keywordAuthor | prime A-ideal | - |
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)