6 citations · 20 across the 15 of their papers we have counts for
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cs.LO2015
Switchability and collapsibility of Gap Algebras
Barnaby Martin, Dmitriy Zhuk
Let A be an idempotent algebra on a 3-element domain D that omits a G-set for a factor. Suppose A is not αβ-projective (for some alpha, beta subsets of D) and is not collapsible. I…
math.RA2015
The Size of Generating Sets of Powers
Dmitriy Zhuk
In the paper we prove for every finite algebra A that either it has the polynomially generated powers (PGP) property, or it has the exponentially generated powers (EGP) property. F…
math.RA2015
Key (critical) relations preserved by a weak near-unanimity function
Dmitriy Zhuk
In the paper we introduce a notion of a key relation, which is similar to the notion of a critical relation introduced by Keith A.Kearnes and Ágnes Szendrei. All clones on finite s…