1Mathematics Department, Cebu Normal University, Cebu City, Philippines 6000
2Science Cluster, University of the Philippines - Cebu
3Mathematics Department, Negros Oriental State University
Turkish Journal of Analysis and Number Theory.
2015,
Vol. 3 No. 6, 160-164
DOI: 10.12691/tjant-3-6-4
Copyright © 2015 Science and Education PublishingCite this paper: Joris N. Buloron, Roberto B. Corcino, Lorna S. Almocera, Michael P. Baldado Jr..
−sets and Structure-Preserving Maps.
Turkish Journal of Analysis and Number Theory. 2015; 3(6):160-164. doi: 10.12691/tjant-3-6-4.
Correspondence to: Roberto B. Corcino, Mathematics Department, Cebu Normal University, Cebu City, Philippines 6000. Email:
rcorcino@yahoo.comAbstract
This paper investigates
−sets of groups in relation to structure-preserving maps. It shows connections between non-involutions of groups and the concept of
−sets. In particular, we prove that the existence of a semigroup isomorphism between the families of
−sets of two groups is equivalent to an existence of a special type of bijection between the subsets containing all elements of orders greater than two of the groups.
Keywords