Journal of Formalized Mathematics
Volume 8, 1996
University of Bialystok
Copyright (c) 1996
Association of Mizar Users
Algebraic Lattices

Robert Milewski

Warsaw University, Bialystok
The terminology and notation used in this paper have been
introduced in the following articles
[16]
[8]
[18]
[14]
[10]
[19]
[17]
[7]
[1]
[15]
[2]
[3]
[12]
[20]
[4]
[9]
[6]
[11]
[13]
[5]

The Subset of All Compact Elements

Algebraic Lattices

Arithmetic Lattices

Boolean Posets as Algebraic Lattices
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Grzegorz Bancerek.
Complete lattices.
Journal of Formalized Mathematics,
4, 1992.
 [2]
Grzegorz Bancerek.
Quantales.
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6, 1994.
 [3]
Grzegorz Bancerek.
Bounds in posets and relational substructures.
Journal of Formalized Mathematics,
8, 1996.
 [4]
Grzegorz Bancerek.
Directed sets, nets, ideals, filters, and maps.
Journal of Formalized Mathematics,
8, 1996.
 [5]
Grzegorz Bancerek.
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Journal of Formalized Mathematics,
8, 1996.
 [6]
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The ``waybelow'' relation.
Journal of Formalized Mathematics,
8, 1996.
 [7]
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1, 1989.
 [8]
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Journal of Formalized Mathematics,
1, 1989.
 [9]
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Journal of Formalized Mathematics,
8, 1996.
 [10]
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Journal of Formalized Mathematics,
1, 1989.
 [11]
Adam Grabowski.
Auxiliary and approximating relations.
Journal of Formalized Mathematics,
8, 1996.
 [12]
Adam Grabowski and Robert Milewski.
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Journal of Formalized Mathematics,
8, 1996.
 [13]
Beata Madras.
Irreducible and prime elements.
Journal of Formalized Mathematics,
8, 1996.
 [14]
Beata Padlewska.
Families of sets.
Journal of Formalized Mathematics,
1, 1989.
 [15]
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1, 1989.
 [16]
Andrzej Trybulec.
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Axiomatics, 1989.
 [17]
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1, 1989.
 [18]
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1, 1989.
 [19]
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Journal of Formalized Mathematics,
1, 1989.
 [20]
Mariusz Zynel and Czeslaw Bylinski.
Properties of relational structures, posets, lattices and maps.
Journal of Formalized Mathematics,
8, 1996.
Received December 1, 1996
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