Mal'tsev products of varieties, II
Rings and Algebras
2024-04-16 v1
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.
Keywords
Cite
@article{arxiv.2404.08843,
title = {Mal'tsev products of varieties, II},
author = {Tomasz Penza and Anna B. Romanowska},
journal= {arXiv preprint arXiv:2404.08843},
year = {2024}
}