Quantum Yang-Baxter equation, arbitrary gradings and exchange Hecke braidings

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Generalization of the quantum Yang-Baxter equation solutions to an arbitrary grading is studied. The noncommutative differential calculi corresponding to such solutions is considered. The connection with the ordinary and supersymmetric solutions of the quantum Yang-Baxter equation is given.
14 pages, AmSLaTeX2e, see W. Marcinek (1952-2003) Memorial Page at http://www.math.uni-mannheim.de/~duplij/marcinek

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