We show that, under the assumption of congruence distributivity, a condition by S. Tschantz characterizing congruence modularity is equivalent to a variant of the classical Jónsson condition. Here equivalence is intended in a strong sense, to the effect that the corresponding sequences of terms have exactly the same length.

中文翻译：

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Tschantz和alvin更高的条件在同余分布变种中是等效的

我们证明，在同余分布的假设下，由S. Tschantz表征同余模块化的条件等效于经典Jónsson条件的一种变体。在这里，等价在强烈的意义上是指相应的术语序列具有完全相同的长度。