A Source of Semiprimeness on Inverse and Completely Regular Semigroups

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dc.authoridYeşil, Didem / 0000-0003-0666-9410
dc.contributor.authorMekera, Rasie
dc.contributor.authorYeşil, Didem
dc.date.accessioned2025-01-27T20:45:47Z
dc.date.available2025-01-27T20:45:47Z
dc.date.issued2025
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractWe define |SS|-inverse semigroup and |SS|-completely regular semigroup structures that are not encountered in the literature. They are studied in our work for the first time. The properties of these new semigroup types and their relations with the other semigroup types, such as |SS|-idempotent, |SS|-regular, |SS|-nonzero, and |SS|-reduced semigroups, are discussed. Furthermore, the relationship between the source of semiprimeness and the semiprime ideal is analyzed. It is also shown that the intersection of all semiprime ideals is equal to the source of semiprimeness. Moreover, if a function is surjective, then it can be shown that the analyzed two structures are preserved under homomorphism.
dc.identifier.doi10.1007/s11253-024-02396-7
dc.identifier.endpage1423
dc.identifier.issn0041-5995
dc.identifier.issn1573-9376
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85213062185
dc.identifier.scopusqualityQ3
dc.identifier.startpage1417
dc.identifier.urihttps://doi.org/10.1007/s11253-024-02396-7
dc.identifier.urihttps://hdl.handle.net/20.500.12428/24715
dc.identifier.volume76
dc.identifier.wosWOS:001383490100001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofUkrainian Mathematical Journal
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectMonoids
dc.subjectA Source of Semiprimeness
dc.subjectInverse and Completely Regular Semigroups
dc.titleA Source of Semiprimeness on Inverse and Completely Regular Semigroups
dc.typeArticle

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