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Mathematics > Rings and Algebras

Title: Mal'tsev products of varieties, II

Authors: Tomasz Penza, Anna B. Romanowska
(Submitted on 12 Apr 2024)
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.
Subjects: Rings and Algebras (math.RA)
MSC classes: 08B05 (Primary) 03C05, 08A05 (Secondary)
Journal reference: Algebra Universalis 83, Article no. 21 (2022)
DOI: 10.1007/s00012-022-00777-2
Cite as: arXiv:2404.08843 [math.RA]
  (or arXiv:2404.08843v1 [math.RA] for this version)

Submission history

From: Tomasz Penza [view email]
[v1] Fri, 12 Apr 2024 23:07:52 GMT (46kb)
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