1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.RA2026★ 1 cited
Semilattice sums of algebras and Mal'tsev products of varieties
Clifford Bergman, Tomasz Penza, Anna B. Romanowska
The Mal'tsev product of two varieties of similar algebras is always a quasivariety. We consider the question of when this quasivariety is a variety. The main result asserts that if…
math.RA2024
Mal'tsev products of varieties, II
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 p…
math.RA2024
Mal'tsev products of varieties, I
Tomasz Penza, Anna B. Romanowska
We investigate the Mal'tsev product of two varieties and of the same similarity type. Such a product is usually a quasiv…