6 citations · 8 across the 4 of their papers we have counts for
6 papers
Indecomposable solutions with permutation brace of size and permutation braces of small sizes
Andrew Darlington, Magdalena Wiertel
Using the construction of Bachiller, Cedó and Jespers, we give a complete classification of the indecomposable involutive set-theoretic solutions to the Yang-Baxter equation whose…
Quasi racks, quasi bijective and quasi non-degenerate set-theoretic solutions of the Yang-Baxter equation
Marzia Mazzotta, Paola Stefanelli, Magdalena Wiertel
This work initiates a systematic study of the class of quasi bijective and quasi non-degenerate solutions to the set-theoretic Yang-Baxter equation. The motivation stems from the o…
The Gelfand-Kirillov dimension of Hecke-Kiselman algebras
Magdalena Wiertel
Hecke-Kiselman algebras , over a field , associated to finite oriented graphs are considered. It has been known that every such algebra is an automaton algebra in the s…
Irreducible representations of Hecke-Kiselman monoids
Magdalena Wiertel
Let denote the Hecke-Kiselman algebra of a finite oriented graph over an algebraically closed field . All irreducible representations, and the corresponding maxima…
On the radical of a Hecke-Kiselman algebra
Jan Okniński, Magdalena Wiertel
The Hecke-Kiselman algebra of a finite oriented graph over a field is studied. If is an oriented cycle, it is shown that the algebra is semiprime and its central locali…
Combinatorics and structure of Hecke-Kiselman algebras
Jan Okniński, Magdalena Wiertel
Hecke-Kiselman monoids and their algebras , over a field , associated to finite oriented graphs are studied. In the case is a cycle of…