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Union soft substructures of near rings and N groups       
Yazarlar (3)
Aslıhan Sezgin Sezer
Amasya Üniversitesi, Türkiye
Prof. Dr. Akın Osman ATAGÜN Prof. Dr. Akın Osman ATAGÜN
Bozok Üniversitesi, Türkiye
Naim Çağman
Gaziosmanpaşa Üniversitesi, Türkiye
Devamını Göster
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 alpha-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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı NEURAL COMPUTING & APPLICATIONS
Dergi ISSN 0941-0643 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 08-2012
Cilt No 21
Sayfalar 133 / 143
Doi Numarası 10.1007/s00521-011-0732-1
Makale Linki http://link.springer.com/10.1007/s00521-011-0732-1