| Yazarlar |
Akin Osman Atagün
Amasya Üniversitesi, Turkey |
|
Aslihan Sezgin
Amasya Üniversitesi, Turkey |
| Özet |
| In this paper, we introduce a new type of subgroup and normal subgroup of a group, called intersection-soft subgroup (int-soft subgroup) and intersection-normal subgroup (int-soft normal subgroup), by using Molodtsov's definition of the soft sets. We investigate their related properties with respect to soft set operations and group homomorphisms. Moreover, we introduce intersectionsoft subsemiring (int-soft subsemiring) and intersection-soft ideal (int-soft ideal) of a semiring and some related properties are investigated and illustrated by many examples. Finally, we give some applications of these new concepts to group theory and semiring theory. |
| Anahtar Kelimeler |
| Int-soft ideal | Int-soft normal subgroup | Int-soft subgroup | Int-soft subsemiring | Soft set |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Applied Mathematics and Information Sciences |
| Dergi ISSN | 1935-0090 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2017 |
| Cilt No | 11 |
| Sayı | 1 |
| Sayfalar | 105 / 113 |
| Doi Numarası | 10.18576/amis/110113 |
| Atıf Sayıları | |
| Google Scholar | 3 |
