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Mal’tsev products of varieties, II
Algebra universalis ( IF 0.6 ) Pub Date : 2022-05-21 , DOI: 10.1007/s00012-022-00777-2
Tomasz Penza, Anna B. Romanowska

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.



中文翻译:

Mal'tsev 产品的品种,II

同一相似类型的两个品种的 Mal'tsev 积不是一般的品种,因为它在同态图像下可能无法闭合。在之前的论文中,我们提供了新的充分条件,使这种产品成为一个品种。在本文中,我们通过削弱关于这两个品种的假设来扩展该结果。我们还探索了我们新结果的各种特殊情况,并提供了一些应用示例。

更新日期:2022-05-22
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