Title of article :
A NEW VIEW ON SOFT RINGS
Author/Authors :
Celik, Yıldıray Department of Mathematics - Karadeniz Technical University, Trabzon, Turkey , Ekiz, Canan Department of Mathematics - Giresun University, Giresun, Turkey , Yamak, Sultan Department of Mathematics - Karadeniz Technical University, Trabzon, Turkey
Abstract :
In this paper we study soft rings and ideals. Firstly, we define a new binary relation on soft sets using binary relations on the universe and parameter sets. Then, we introduce the notion of soft ring and soft ideal over a ring, and some examples are given. Also, we obtain some new properties of soft rings and soft ideals. Lastly, we define extended sum, restricted sum, extended product, and restricted product of soft sets, and derive their basic properties.
Keywords :
Soft sets , Soft rings , Soft subrings , Soft ring homomorphism , Soft ideals
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
