A Characterization of P-Compatible Varieties

• 来源期刊: 代数集刊（英文版）
• 关键词: P-compatible identity normal identity externally compatible identity choice algebra clone Menger algebra hyperidentity
• 年，卷（期）: 2007,（2）
• 页码范围: 191-206
• 页数: 16页
• 语种: 英文

摘要

P-Compatibility is a hereditary property of identities which generalizes the properties of normality and externality of identitiesChajda characterized the normalization of a variety by an algebraic construction called a choice algebraIn this paper, we generalize this characterization to the least P-compatible variety P(V) determined by a variety V for any partition P using P-choice algebrasWe also study the clone of (strongly) P-compatible n-ary terms of a variety V, and relate identities of this clone to (strongly) P-compatible hyperidentities of the variety V.