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Union soft substructures of near rings and N groups       
Yazarlar
Aslıhan Sezgin Sezer
Amasya Üniversitesi, Türkiye
Prof. Dr. Akın Osman ATAGÜN
Bozok Üniversitesi, Türkiye
Naim Çağman
Gaziosmanpaşa Üniversitesi, Türkiye
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
Soft set, Union soft subnear-ring, Union soft ideal, Union soft N-subgroup, Union soft N-ideal, Soft anti-image, alpha-inclusion
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Neural Computing and Applications
Dergi ISSN 0941-0643
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