Graphs of finite algebras: maximality, rectangularity, and decomposition

被引：0
|
作者：
Bulatov, Andrei A. [1 ]
机构：
[1] Simon Fraser Univ, Sch Comp Sci, Burnaby, BC, Canada
来源：
ALGEBRA UNIVERSALIS | 2024年 / 85卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Finite algebras; Local structure; Graph of algebra; Constraint satisfaction problem;
D O I：
10.1007/s00012-024-00874-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we continue the study of edge-colored graphs associated with finite idempotent algebras initiated in [Bulatov, "Local structure of idempotent algebras I", CoRR, abs/2006.09599, 2020.]. 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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页数：33
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