On pseudovarieties, varieties of languages, filters of congruences, pseudoidentities and related topics
On pseudovarieties, varieties of languages, filters of congruences, pseudoidentities and related topics
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关于伪品种、语言品种、同余过滤器、伪同一性和相关主题
DOI：
10.1007/bf01190713
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发表时间：
1990
影响因子：
0.6
通讯作者：
J. Almeida
中科院分区：
文献类型：
--
作者：
J. Almeida
近年来，伪簇引起了相当大的兴趣，主要是在有限半群和幺半群理论中。然而，几个伪簇的结果适用于更一般的有限代数结构。本说明提供了一个系统的方法，各种特征的pseudowaries，一些老的，一些新的，其中大部分制定的同构与格的pseudowaries包含在一个给定的pseudowaries。它澄清了伪变种的替代描述之间的关系，它的特点是这些套的伪身份是（演绎）关闭。
In recent years there has been considerable interest in pseudovarieties, mainly in the theory of finite semigroups and monoids. However, several results on pseudovarieties apply to much more general finite algebraic structures. This note provides a systematic approach to various characterizations of pseudovarieties, some old, some new, most of them formulated in terms of isomorphisms with the lattice of pseudovarieties contained in a given pseudovariety. It clarifies the relationships between alternative descriptions of pseudovarieties and it characterizes those sets of pseudoidentities which are(deductively) closed.