Title of article :
SOFT GROUP BASED ON SOFT ELEMENT
Author/Authors :
ghosh, jayanta manickpur adarsha vidyapith - department of mathematics, india , mandal, dhananjoy university of calcutta - department of pure mathematics, India , samanta, t. k. uluberia college - department of mathematics, India
Abstract :
Using the notion of soft element [13], in this paper, we define a binary operation on the set of all nonempty soft elements of a given soft set to introduce soft groupoid. Then we give the definition of soft group based on soft elements and establish necessary and su cient conditions for a soft set to be a soft group. Also we compare some properties like commutative property, cyclic property of soft group with those of given parameter set and initial universe set.
Journal title :
Jordan Journal Of Mathematics and Statistics
Journal title :
Jordan Journal Of Mathematics and Statistics
