Abstract

We investigate, at the level of functors, the effect of definitions mimicking those of Mal’tsev and naturally Mal’tsev categories, and show that they give rise to the same kind of characterizations. We give, among others, an application concerning the characterization of the Smith=Huq condition.

中文翻译：

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Mal'tsev 和 Lawvere 函子

摘要

我们在函子的层次上研究了模仿 Mal'tsev 和自然 Mal'tsev 范畴的定义的影响，并表明它们产生了相同类型的表征。我们给出了一个关于 Smith=Huq 条件特征的应用。