−sets and Structure-Preserving Maps

Joris N. Buloron¹, Roberto B. Corcino^1, , Lorna S. Almocera² and Michael P. Baldado Jr.³

¹Mathematics Department, Cebu Normal University, Cebu City, Philippines 6000

²Science Cluster, University of the Philippines - Cebu

³Mathematics Department, Negros Oriental State University

Cite this paper:
Joris N. Buloron, Roberto B. Corcino, Lorna S. Almocera and 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

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:
−sets non-involutions morphism

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References:

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