99 citations · 240 across the 20 of their papers we have counts for
22 papers
Quadratic algebras and idempotent braided sets
Tatiana Gateva-Ivanova, Shahn Majid
We study the Yang-Baxter algebras associated to finite set-theoretic solutions of the braid relations. We introduce an equivalent set of quadratic relations $\Re…
Quadratic algebras associated to permutation idempotent solutions of the YBE
Tatiana Gateva-Ivanova, Shahn Majid
We study the quadratic algebras associated to a class of strictly braided but idempotent set-theoretic solutions of the Yang-Baxter or braid relations. In the in…
Segre products and Segre morphisms in a class of Yang-Baxter algebras
Tatiana Gateva-Ivanova
Let and be finite nondegenerate involutive set-theoretic solutions of the Yang-Baxter equation, and let and $A_Y= A(\textbf{k}, Y,…
Veronese subalgebras and Veronese morphisms for a class of Yang-Baxter algebras
Tatiana Gateva-Ivanova
We study -Veronese subalgebras of Yang-Baxter algebras related to finite nondegenerate involutive set-theoretic solutions of the Yang-Baxter…
Veronese and Segre morphisms between non-commutative projective spaces
Francesca Arici, Francesco Galuppi, Tatiana Gateva-Ivanova
We study Veronese and Segre morphisms between non-commutative projective spaces. We compute finite reduced Gröbner bases for their kernels, and we compare them with their analogues…
Algebras defined by Lyndon words and Artin-Schelter regularity
Tatiana Gateva-Ivanova
Let be a finite alphabet, and let be a field. We study classes of graded -algebras , generated…