On reflections for ordered algebras

IF 0.4 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2026-09-01 DOI:10.1007/s00012-026-00935-w

Shuang Li, Xia Zhang

引用次数: 0

Abstract

In this paper, we study reflections for ordered universal algebras by means of injective hulls. We show that ordered universal algebras with cut-stable morphisms have a reflection into sup-algebras with residual preserving complete mappings. The reflection gives rise to an order-embedding preserving functor.

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关于有序代数的反思

本文利用内射壳研究了有序泛代数的反射。我们证明了具有切稳定态射的有序泛代数在残差保持完全映射的超代数上有一个反射。反射产生了一个保序嵌入函子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

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.