序代数的可容许子集与完备

IF 0.6 4区 数学 Q3 MATHEMATICS
Valdis Laan, Jianjun Feng, Xia Zhang
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引用次数: 0

摘要

我们考虑有序泛代数,并使用所谓的\(\mathscr{D}\)-理想给出了它们的连接完备的构造。我们证明了这种构造具有一个普遍性质,它诱导了从某一类有序代数到sup代数的反射器。我们的结果推广了几个早期已知的关于不同有序结构的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Admissible subsets and completions of ordered algebras

Admissible subsets and completions of ordered algebras

We consider ordered universal algebras and give a construction of a join-completion for them using so-called \(\mathscr {D}\)-ideals. We show that this construction has a universal property that induces a reflector from a certain category of ordered algebras to the category of sup-algebras. Our results generalize several earlier known results about different ordered structures.

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来源期刊
Algebra Universalis
Algebra Universalis 数学-数学
CiteScore
1.00
自引率
16.70%
发文量
34
审稿时长
3 months
期刊介绍: Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.
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