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math.RA2018
On polynomials that are not quite an identity on an associative algebra
Eric Jespers, David Riley, Mayada Shahada
Let be a polynomial in the free algebra over a field , and let be a -algebra. We denote by , $\A_A(f)$ and $\I_A(f)$, respectively, the `verbal' subspace, sub…
math.RA2018
The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation
Eric Jespers, Łukasz Kubat, Arne Van Antwerpen
For a finite involutive non-degenerate solution of the Yang--Baxter equation it is known that the structure monoid is a monoid of I-type, and the structure algebra…