Radicals of soft intersectıonal ideals in semigroups
In this paper, we introduce IS-radical, IS-quasi radical, IS-interior radical and IS-nil radical in semigroups. We obtain radical structures that will contribute to the theoretical studies of soft sets. We consider the ideal structures of intersectional soft sets in semigroups and we define IS-radic...
| Published in: | Cumhuriyet Science Journal |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Sivas Cumhuriyet Üniversitesi
2021-03-01
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| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/pub/csj/issue/60844/738926 |
| _version_ | 1848651259167375360 |
|---|---|
| author | Betül Erdal Emin Aygun |
| author_facet | Betül Erdal Emin Aygun |
| author_sort | Betül Erdal |
| collection | DOAJ |
| container_title | Cumhuriyet Science Journal |
| description | In this paper, we introduce IS-radical, IS-quasi radical, IS-interior radical and IS-nil radical in semigroups. We obtain radical structures that will contribute to the theoretical studies of soft sets. We consider the ideal structures of intersectional soft sets in semigroups and we define IS-radical, IS-quasi radical, IS-interior radical and IS-nil radical. We use two different methods to define the soft radicals and give the results. In our study, we also give several examples and propositions to see differences among these structures. |
| format | Article |
| id | doaj-e9962c3830ae46f78740451a5b84ecf0 |
| institution | Directory of Open Access Journals |
| issn | 2587-2680 2587-246X |
| language | English |
| publishDate | 2021-03-01 |
| publisher | Sivas Cumhuriyet Üniversitesi |
| record_format | Article |
| spelling | doaj-e9962c3830ae46f78740451a5b84ecf02025-11-03T01:07:15ZengSivas Cumhuriyet ÜniversitesiCumhuriyet Science Journal2587-26802587-246X2021-03-0142111512210.17776/csj.7389262Radicals of soft intersectıonal ideals in semigroupsBetül Erdal0Emin Aygun1ERCİYES ÜNİVERSİTESİ, FEN FAKÜLTESİERCİYES ÜNİVERSİTESİ, FEN FAKÜLTESİIn this paper, we introduce IS-radical, IS-quasi radical, IS-interior radical and IS-nil radical in semigroups. We obtain radical structures that will contribute to the theoretical studies of soft sets. We consider the ideal structures of intersectional soft sets in semigroups and we define IS-radical, IS-quasi radical, IS-interior radical and IS-nil radical. We use two different methods to define the soft radicals and give the results. In our study, we also give several examples and propositions to see differences among these structures.https://dergipark.org.tr/tr/pub/csj/issue/60844/738926soft radical is-radical is-quasi radicalis-interior radicalis-nil radical |
| spellingShingle | Betül Erdal Emin Aygun Radicals of soft intersectıonal ideals in semigroups soft radical is-radical is-quasi radical is-interior radical is-nil radical |
| title | Radicals of soft intersectıonal ideals in semigroups |
| title_full | Radicals of soft intersectıonal ideals in semigroups |
| title_fullStr | Radicals of soft intersectıonal ideals in semigroups |
| title_full_unstemmed | Radicals of soft intersectıonal ideals in semigroups |
| title_short | Radicals of soft intersectıonal ideals in semigroups |
| title_sort | radicals of soft intersectional ideals in semigroups |
| topic | soft radical is-radical is-quasi radical is-interior radical is-nil radical |
| url | https://dergipark.org.tr/tr/pub/csj/issue/60844/738926 |
| work_keys_str_mv | AT betulerdal radicalsofsoftintersectıonalidealsinsemigroups AT eminaygun radicalsofsoftintersectıonalidealsinsemigroups |