A completely new view to soft intersection rings via soft uni-int product
Yazarlar (3)
Prof. Dr. Aslıhan Sezgin Sezer Amasya Üniversitesi, Türkiye
Prof. Dr. Naim ÇAĞMAN Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Prof. Dr. Akın Osman Atagün Bozok Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Applied Soft Computing Journal (Q1)
Dergi ISSN 1568-4946 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 01-2017
Cilt / Sayı / Sayfa 54 / 1 / 366–392 DOI 10.1016/j.asoc.2016.10.004
Makale Linki https://www.sciencedirect.com/science/article/pii/S1568494616305142
UAK Araştırma Alanları
Matematiğin Temelleri ve Matematiksel Mantık
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.
Anahtar Kelimeler
Regular rings | Soft intersection (generalized) bi-ideal | Soft intersection interior ideal | Soft intersection left (right two-sided) ideal | Soft intersection quasi ideal | Soft set | Soft union–intersection product
Science Direct
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 11
Scopus 16
Google Scholar 81
A completely new view to soft intersection rings via soft uni-int product

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