论文标题
特别一致的评论
Remarks on special congruences
论文作者
论文摘要
我们研究代数和品种，其中每个非平凡的一致性都有一些阶级是所讨论的代数的非平凡亚元素。然后，我们专注于这个非平凡阶级的代数，是一致性的独特的非单明一年类。特别是，我们研究了具有单块 - 属性的REES代数，准元代数和代数。我们还提出了有关商代数的这些属性的结果。包括此类代数和品种的几个例子。
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.
