Soft k-Uni Ideals of Semirings and its Algebraic Applications

Abstract

In this paper, firstly, information about soft set introduced by Molodtsov is given. Then, the operations

on the soft set are introduced. After then a definition of soft uni-k-ideal of a semiring by using the union operation

of 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

Yarıhalkaların Esnek k-Birleşimsel İdealleri ve Cebirsel Uygulamaları

Abstract

Bu çalışmada, ilk olarak Molodtsov tarafından ortaya atılan esnek küme teorisi hakkında bilgi verildi. Sonra

esnek küme üzerindeki işlemler tanıtıldı. Daha sonra kümelerin birleşim işlemi kullanılarak bir yarıhalkanın esnek

birleşimsel k-ideal tanımı verildi. Son olarak, esnek birleşimsel k-ideali kullanılarak bazı cebirsel uygulamalar

araştırıldı.

Keywords

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

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