关于特殊同余的注记

摘要：

我们研究代数和品种，其中每一个非平凡的同余有一些类是一个非平凡的子宇宙的代数问题。然后，我们专注于代数，这个非平凡类是一个唯一的非单例类的同余。特别地，我们研究了Rees代数、拟Rees代数和具有单块性质的代数。我们也给出了关于商代数的这些性质的结果。几个例子，这样的代数和品种包括在内。

英文摘要：

We study algebras and varieties where every non-trivial congruence has some class being a non-trivial subuniverse of the algebra in question. Then we focus on algebras where this non-trivial class is a unique non-singleton class of the congruence. In particular, we investigate Rees algebras, quasi-Rees algebras and algebras having the one-block-property. We also present results concerning these properties on quotient algebras. Several examples of such algebras and varieties are included.

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