26 citations · 61 across the 12 of their papers we have counts for
6 papers · 1 filter
A note on the Burris-Willard conjecture
Mike Behrisch
Based on results by Daniľčenko, in 1987 Burris and Willard have conjectured that on any -element domain where it is possible to bicentrically generate every centralise…
All centralising monoids with majority witnesses on a four-element set
Mike Behrisch
We study unary parts of centraliser clones on the set , so-called centralising monoids. We describe and count all centralising monoids on the set having…
Reconstructing the topology on monoids and polymorphism clones of the rationals
Mike Behrisch, John K Truss, Edith Vargas-García
We show how to reconstruct the topology on the monoid of endomorphisms of the rational numbers under the strict or reflexive order relation, and the polymorphism clone of the ratio…
Galois theory for semiclones
Mike Behrisch
We present a Galois theory connecting finitary operations with pairs of finitary relations one of which is contained in the other. The Galois closed sets on both sides are characte…
Unique inclusions of maximal C-clones in maximal clones
Mike Behrisch, Edith Vargas-García
-clones are polymorphism sets of so-called clausal relations, a special type of relations on a finite domain, which first appeared in connection with constraint satisfa…
Minimal clones with many majority operations
Mike Behrisch, Tamás Waldhauser
We present two minimal clones containing 26 and 78 majority operations respectively, more than any other previously known example.