马尔采夫产品的品种，2

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2022-05-21 DOI:10.1007/s00012-022-00777-2

Tomasz Penza, Anna B. Romanowska

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引用次数: 0

摘要

同一相似类型的两个变种的Mal’tsev乘积一般不是变种，因为它在同态图像下可能无法闭合。在前一篇论文中，我们为这样的产物是一个变种提供了新的充分条件。在本文中，我们通过弱化关于这两个变种的假设来扩展这一结果。我们还探讨了新结果的各种特殊情况，并提供了一些应用实例。

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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Mal’tsev products of varieties, II

The Mal’tsev product of two varieties of the same similarity type is not in general a variety, because it can fail to be closed under homomorphic images. In the previous paper we provided new sufficient conditions for such a product to be a variety. In this paper we extend that result by weakening the assumptions regarding the two varieties. We also explore the various special cases of our new result and provide a number of examples of its application.

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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.