Yarıhalkaların Esnek k-Birleşimsel İdealleri ve Cebirsel Uygulamaları

Bu çalışmada, ilk olarak Molodtsov tarafından ortaya atılan esnek küme teorisi hakkında bilgi verildi. Sonraesnek küme üzerindeki işlemler tanıtıldı. Daha sonra kümelerin birleşim işlemi kullanılarak bir yarıhalkanın esnekbirleşimsel k-ideal tanımı verildi. Son olarak, esnek birleşimsel k-ideali kullanılarak bazı cebirsel uygulamalararaştırıldı.

Anahtar Kelimeler:

Esnek kümeler, k-idealler, esnek birleşimsel idealler, esnek k-birleşimsel idealler

Soft k-Uni Ideals of Semirings and its Algebraic Applications

In this paper, firstly, information about soft set introduced by Molodtsov is given. Then, the operationson the soft set are introduced. After then a definition of soft uni-k-ideal of a semiring by using the union operationof sets is given. Finally, some algebraic applications by using soft uni-k-ideal are investigated.

Keywords:

Soft sets, k-ideals, soft uni-ideals, soft k-uni ideals,

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