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The problem on the set-theoretical solutions to the quantum Yang-Baxter equation was presented byDrinfel'd as a main unsolved problem in quantum group theory. The set-theoretical solutions are a natural extensionof the usual (linear) solutions. In this paper, we not only give a further study on some known set-theoretical solutions(the Venkov's solutions), but also find a new kind of set-theoretical solutions which have a geometric interpretation.Moreover, the new solutions lead to the metahomomorphisms in group theory. 相似文献
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Abel群的亚同态的刻画 总被引：1，自引：0，他引：1
In this paper,a characterization of metahomomorphisrns on Abeliangroups is given. 相似文献
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