16 citations · 77 across the 22 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.QA2019
Set-theoretical solutions of the Yang-Baxter and pentagon equations on semigroups
Francesco Catino, Marzia Mazzotta, Paola Stefanelli
The Yang-Baxter and pentagon equations are two well-known equations of Mathematical Physic. If is a set, a map is said to be a set theoretical soluti…
math.QA2019
The matched product of set-theoretical solutions associated with shelves
Francesco Catino, Ilaria Colazzo, Paola Stefanelli
We investigate the matched product of solutions associated with right and left shelves. First, we prove that the requirements to provide the matched product of solutions that come…
math.QA2019
The matched product of the solutions to the Yang-Baxter equation of finite order
Francesco Catino, Ilaria Colazzo, Paola Stefanelli
In this work, we focus on the set-theoretical solutions of the Yang-Baxter equation which are of finite order and not necessarily bijective. We use the matched product of solutions…