Algebraic lattices are complete sublattices of the clone lattice over an infinite set
Fundamenta Mathematicae (2007)
- Volume: 195, Issue: 1, page 1-10
- ISSN: 0016-2736
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topMichael Pinsker. "Algebraic lattices are complete sublattices of the clone lattice over an infinite set." Fundamenta Mathematicae 195.1 (2007): 1-10. <http://eudml.org/doc/283363>.
@article{MichaelPinsker2007,
abstract = {The clone lattice 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 Cl(X).},
author = {Michael Pinsker},
journal = {Fundamenta Mathematicae},
keywords = {clone lattice; algebraic lattice; compact element; complete sublattice},
language = {eng},
number = {1},
pages = {1-10},
title = {Algebraic lattices are complete sublattices of the clone lattice over an infinite set},
url = {http://eudml.org/doc/283363},
volume = {195},
year = {2007},
}
TY - JOUR
AU - Michael Pinsker
TI - Algebraic lattices are complete sublattices of the clone lattice over an infinite set
JO - Fundamenta Mathematicae
PY - 2007
VL - 195
IS - 1
SP - 1
EP - 10
AB - The clone lattice 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 Cl(X).
LA - eng
KW - clone lattice; algebraic lattice; compact element; complete sublattice
UR - http://eudml.org/doc/283363
ER -
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