Tatiana Gateva-Ivanova
American University in Bulgaria
47 Papers
215 Citations
Tatiana Gateva-Ivanova is an academic researcher from American University in Bulgaria. The author has contributed to research in topics: Yang–Baxter equation & Type (model theory). The author has an hindex of 18, co-authored 40 publications. Previous affiliations of Tatiana Gateva-Ivanova include Bulgarian Academy of Sciences & Massachusetts Institute of Technology.
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Papers
Braces and symmetric groups with special conditions
TL;DR: In this paper, the authors studied the impact of conditions like Raut and lri on the properties of the left brace and its associated solution of the Yang-Baxter equation (YBE) and showed that for a graded Jacobson radical ring with no elements of additive order two the conditions lri and Raut are equivalent.
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Set-theoretic solutions of the Yang-Baxter equation, Braces, and Symmetric groups
TL;DR: In this paper, the authors show the intimate relation between the notions of a symmetric group (a braided involutive group) and a left brace, and find new results on symmetric groups of finite multi-permutation level and corresponding braces.
Multipermutation Solutions of the Yang–Baxter Equation
TL;DR: A set-theoretic solution of the Yang-Baxter equation is a meeting-ground of mathematical physics, algebra and combinatorics as mentioned in this paper, where a set is composed of a set X and a function r : X × X → X×X × X which satisfies the braid relation.
Quadratic algebras of skew type and the underlying monoids
TL;DR: In this paper, it was shown that right noetherian algebras of finite Gelfand-Kirillov dimension defined by homogeneous semigroup relations satisfy a polynomial identity.
Set-theoretic solutions of the Yang-Baxter equation, graphs and computations
TL;DR: In this paper, the authors extend their work on set-theoretic solutions of the Yang-Baxter or braid relations with new results about their automorphism groups, strong twisted unions of solutions and multi-permutation solutions.