Open AccessApplications on Cyclic Soft Symmetric Groups
Author(s) -
Shuker Mahmood Khalil,
Fatima Hameed Khadhaer
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1530/1/012046
Subject(s) - mathematics , symmetric group , cyclic group , set (abstract data type) , soft set , pure mathematics , group (periodic table) , element (criminal law) , topology (electrical circuits) , algebra over a field , combinatorics , computer science , physics , artificial intelligence , abelian group , quantum mechanics , political science , law , programming language , fuzzy logic
In classical groups, there is a fact state that the symmetric groups are not cyclic in general. So, in this work the notion of cyclic soft symmetric groups using soft set theory is investigated and their orders are given. In this paper, we introduce new classes over non cyclic symmetric groups; these new classes are generated by element in the power set of classical symmetric groups. Furthermore, some applications on these new classes are given.