论文标题

基于代数II的局部结构

Local structure of idempotent algebras II

论文作者

Bulatov, Andrei A.

论文摘要

在本文中,我们继续研究与Arxiv:2006.09599发起的有限型代数相关的边彩图。我们证明了此类图的更强的连接性能,这些属性将使我们能够演示基于矩形和二个分解等型代数的细分产物的几个有用的结构特征。

In this paper we continue the study of edge-colored graphs associated with finite idempotent algebras initiated in arXiv:2006.09599. We prove stronger connectivity properties of such graphs that will allows us to demonstrate several useful structural features of subdirect products of idempotent algebras such as rectangularity and 2-decomposition.

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