Non-unitary set-theoretical solutions to the Quantum Yang-Baxter Equation

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We develop a theory of non-unitary set-theoretical solutions to the Quantum Yang-Baxter equation. Our results generalize those obtained by Etingof, Schedler and the author. We remark that some of our constructions are similar to constructions obtained by Lu, Yan and Zhu.
AMS-LaTeX v1.2, 19 pages, no figures, corrected small mistakes in the proofs of Lemma 3 and Theorem 2.8

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