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.

中文翻译：

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仿射四元组的同态图像

我们对表征仿射四元组同态图像的抽象条件感兴趣。我们的主要结果是这个类的两个特征：一个是位移组的属性，另一个是相应仿射网格的属性。因此，我们获得了用于识别仿射四元组的同态图像的有效算法，包括覆盖仿射四元组的有效显式构造。