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A NOTE ON SOFT NEAR RINGS AND IDEALISTIC SOFT NEAR RINGS       
Yazarlar
Aslıhan Sezgin Sezer
Amasya Üniversitesi, Türkiye
Prof. Dr. Akın Osman ATAGÜN
Bozok Üniversitesi, Türkiye
Emin Aygün
Erciyes Üniversitesi, Türkiye
Özet
Molodtsov introduced the theory of soft sets, which can be seen as an effective mathematical tool to deal with uncertainties, since it is free from the difficulties that the usual theoretical approaches have troubled. In this paper, we apply the definitions proposed by Ali et al. [M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (2009), 1547-1553] to the concept of soft near-rings and substructures of soft near-rings, proposed by Atagun and Sezgin [A. O. Atagun and A. Sezgin, Soft Near-rings, submitted] and show them with illustrating examples. Moreover, we investigate the properties of idealistic soft near-rings with respect to the near-ring mappings and we show that the structure is preserved under the near-ring epimorphisms. Main purpose of this paper is to extend the study of soft near-rings from a theoretical aspect.
Anahtar Kelimeler
Soft sets, Extended intersection, Restricted intersection, Soft near-rings, Idealistic soft near-rings
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı FILOMAT
Dergi ISSN 2406-0933
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 01-2011
Cilt No 25
Sayı 1
Sayfalar 53 / 68
Atıf Sayıları
WoS 52
SCOPUS 49
Google Scholar 119

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