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JOURNALS // Prikladnaya Diskretnaya Matematika // Archive

Prikl. Diskr. Mat., 2011 Number 4(14), Pages 5–10 (Mi pdm345)

Theoretical Foundations of Applied Discrete Mathematics

Construction of maximal clones in the set of point functions on interval semilattice

N. G. Parvatov

Tomsk State University, Tomsk, Russia

Abstract: The description problem for clones in the sets of all point and all minimal point functions on a semilattice is considered. Examples of maximal such clones on the interval semilattice of a lattice are given.

Keywords: clone, upper semilattice, interval semilattice, interval lattice, point function, minimal point function.

UDC: 519.7



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