On factorization systems for surjective quandle homomorphisms
(2014) Journal of Knot Theory and Its Ramifications — Vol. 23, n° 11 (2014)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- We study and compare two factorization systems for surjective homomorphisms in the category of quandles. The first one is induced by the adjunction between quandles and trivial quandles, and a precise description of the two classes of morphisms of this factorization system is given. In doing this we observe that a special class of congruences in the category of quandles always permute in the sense of the composition of relations, a fact that opens the way to some new universal algebraic investigations in the category of quandles. The second factorization system is the one discovered by E. Bunch, P. Lofgren, A. Rapp and D. N. Yetter. We conclude with an example showing a difference between these factorization systems.
- Affiliations
Citations
Even, V., & Gran, M. (2014). On factorization systems for surjective quandle homomorphisms. Journal of Knot Theory and Its Ramifications, 23(11). https://doi.org/10.1142/S0218216514500606 (Original work published 2014)