Poloids from the Points of View of Partial Transformations and Category Theory
Category Theory
2018-08-06 v4
Abstract
Monoids and groupoids are examples of poloids. On the one hand, poloids can be regarded as one-sorted categories; on the other hand, poloids can be represented by partial magmas of partial transformations. In this article, poloids are considered from these two points of view.
Cite
@article{arxiv.1710.04634,
title = {Poloids from the Points of View of Partial Transformations and Category Theory},
author = {Dan Jonsson},
journal= {arXiv preprint arXiv:1710.04634},
year = {2018}
}
Comments
15 pages. Appendix A expanded; minor corrections