Union soft substructures of near rings and N groups
Yazarlar (3)
Prof. Dr. Aslihan Sezgin Amasya Üniversitesi, Türkiye
Akin Osman Atagün Yozgat Bozok University, Türkiye
Prof. Dr. Naim ÇAĞMAN Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Neural Computing and Applications (Q4) | ||
| Dergi ISSN | 0941-0643 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2012 |
| Cilt / Sayı / Sayfa | 21 / 0 / 133–143 | DOI | 10.1007/s00521-011-0732-1 |
| Makale Linki | http://link.springer.com/10.1007/s00521-011-0732-1 | ||
| UAK Araştırma Alanları |
Matematiğin Temelleri ve Matematiksel Mantık
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| Özet |
| In this paper, we introduce union soft subnear-rings and union soft ideals of a near-ring and union soft N-subgroups and union soft N-ideals of an N-group by using Molodtsov’s definition of soft sets and investigate their related properties with respect to soft set operations, soft anti-image and lower α-inclusion of soft sets. Since these notions show how a soft set affects on substructures of near-rings and N-groups in the mean of union and inclusion of sets, they can be regarded as a bridge among classical sets, soft sets and near-rings. We then obtain significant relation between soft substructures of near-rings and union soft substructures of near-rings, soft substructures of N-groups and union soft substructures of N-groups. |
| Anahtar Kelimeler |
| α-inclusion | Soft anti-image | Soft set | Union soft ideal | Union soft N-ideal | Union soft N-subgroup | Union soft subnear-ring |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 23 |
| Scopus | 24 |
| Google Scholar | 61 |