Quandle-like Structures From Groups
نویسنده
چکیده
We give a general procedure to construct a certain class of ”quandle-like” structures from an arbitrary group. These structures, which we refer to as pseudoquandles, possess two of the three defining properties of quandles. We classify all pseudoquandles obtained from an arbitrary finitely generated abelian group. We also define the notion of the kernel of an element of a pseudoquandle and prove some algebraic properties of pseudoquandles via its kernels.
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