论文标题

仿射杂物的同态图像

Homomorphic images of affine quandles

论文作者

Jedlička, Přemysl, Stanovský, David

论文摘要

我们对表征仿射难题的同态图像的抽象条件感兴趣。我们的主要结果是对此类别的两个表征:一个由位移组的属性,另一个由相应的仿射网的属性。结果,我们获得了有效的算法来识别仿射群的同构图像,包括有效的明确构造覆盖的仿射量。

We are interested in abstract conditions that characterize homomorphic images of affine quandles. Our main result is a two-fold characterization of this class: one by a property of the displacement group, the other one by a property of the corresponding affine mesh. As a consequence, we obtain efficient algorithms for recognizing homomorphic images of affine quandles, including an efficient explicit construction of the covering affine quandle.

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