Enveloping monoidal quandles |
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Institution: | 1. Department of Mathematics, Hiroshima University, Hiroshima 739-8526, Japan;2. Graduate School of Mathematical Science, University of Tokyo, Tokyo 153-8914, Japan |
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Abstract: | A quandle is a set with a self-distributive binary operation satisfying a certain condition. Here we construct a monoid (a semi-group with the identity) associated with a quandle. This monoid has a structure of a quandle, which contains the original quandle as a sub-quandle. We call it the enveloping monoidal quandle. The purpose of this paper is to introduce the notion of the enveloping monoidal quandle, and to investigate it. |
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