A monoidal interval of isotone clones on a finite chain.
Andrei Krokhin, Benoît Larose · Durham Research Online (Durham University) · 2002
Let k denote a k-element chain, k3. Let M denote the clone generated by all unary isotone operations on k and let Pol denote the clone of all isotone operations on k. We investigate the interval of clones [MPol]. Among other results, we describe completely those clones which contain only join (or meet) homomorphisms, and describe the interval completely for k4.