N-Group SU-Action and its Applications to N-Group Theory

Authors

Aslıhan Sezgin, Department of Mathematics, Amasya University, 05100 Amasya, TurkeyFollow
kın Osman Atagun, Yozgat, TurkeyFollow
Naim Cagman, Department of Mathematics, Gaziosmanpas ̧a University, Tokat, TurkeyFollow

Abstract

In this paper, we define a new type of N-group action, called N-group soft union (SU) action on a soft set. This new concept illustrates how a soft set effects on an N-group structure in the mean of union and inclusion of sets and it functions as a bridge among soft set theory, set theory and N-group theory. Furthermore, we derive its basic properties with illustrative examples, investigate the relationship between N-group SI-action defined in [32] and N-group SU-action and obtain some analog of classical N-group theoretic concepts for N-group SU-action. Finally, we give the applications of N-group SU-actions to N-group theory.

Recommended Citation

Sezgin, Aslıhan; Osman Atagun, kın; and Cagman, Naim (2016) "N-Group SU-Action and its Applications to N-Group Theory," Information Sciences Letters: Vol. 5 : Iss. 3 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol5/iss3/2