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C. J. S. Rosero, J. M. Ontolan, J. N. Buloron and M. P. Baldado, Jr. Some properties of −sets of a group. International Mathematical Forum. 9 (2014), 1035-1040.

has been cited by the following article:

Article

−sets and Structure-Preserving Maps

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 Publishing

Cite 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.com

Abstract

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