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arXiv · 2404.08843

Mal'tsev products of varieties, II

Tomasz Penza·Anna B. Romanowska
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Abstract

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 a new sufficient condition 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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Tomasz Penza, Anna B. Romanowska. 2024-04-12. Mal'tsev products of varieties, II. https://doi.org/10.1007/s00012-022-00777-2

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