| Yazarlar |
Aslıhan Sezgin
Amasya Üniversitesi, Türkiye |
|
Naim Çağman
Gaziosmanpaşa Üniversitesi, Türkiye |
Prof. Dr. Akın Osman ATAGÜN
Türkiye |
| Özet |
| In this paper, we make a completely new approach to the classical ring theory via soft set theory, with the concept of soft intersection rings, ideals, (generalized) bi-ideals, interior ideals and quasi-ideals. Particularly, we define soft union-intersection product and obtain the relationship between this new concept and soft intersection ring and its different ideals. Moreover, we characterize regular, regular duo, intra-regular and strongly regular rings by soft intersection rings and ideals. (C) 2016 Elsevier B.V. All rights reserved. |
| Anahtar Kelimeler |
| Soft set, Soft union-intersection product, Soft intersection left (right two-sided) ideal, Soft intersection (generalized) bi-ideal, Soft intersection interior ideal, Soft intersection quasi ideal, Regular rings |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Applied Soft Computing |
| Dergi ISSN | 1568-4946 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2017 |
| Cilt No | 54 |
| Sayfalar | 366 / 392 |
| Makale Linki | https://www.sciencedirect.com/science/article/pii/S1568494616305142 |
