Geodesic
Algebraic lattices are complete sublattices of the clone lattice over an infinite set
Michael Pinsker1
1 Institut für Diskrete Mathematik und Geometrie Technische Universität Wien Wiedner Hauptstraße 8-10/104 A-1040 Wien, Austria
Fundamenta Mathematicae, Tome 195 (2007) no. 1, pp. 1-10 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The clone lattice $\mathop{\rm Cl}(X)$ over an infinite set $X$ is a complete algebraic lattice with $2^{|X|}$ compact elements. We show that every algebraic lattice with at most $2^{|X|}$ compact elements is a complete sublattice of $\mathop{\rm Cl}(X)$.
DOI : 10.4064/fm195-1-1
Keywords: clone lattice mathop infinite set complete algebraic lattice compact elements every algebraic lattice compact elements complete sublattice mathop

Michael Pinsker 1

1 Institut für Diskrete Mathematik und Geometrie Technische Universität Wien Wiedner Hauptstraße 8-10/104 A-1040 Wien, Austria 
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Michael Pinsker. Algebraic lattices are complete sublattices
 of the clone lattice over an infinite set. Fundamenta Mathematicae, Tome 195 (2007) no. 1, pp. 1-10. doi: 10.4064/fm195-1-1

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