Journal of Formalized Mathematics
Volume 9, 1997
University of Bialystok
Copyright (c) 1997
Association of Mizar Users
Closure Operators and Subalgebras

Grzegorz Bancerek

Warsaw University, Bialystok
This work has been partially supported by
the Office of Naval Research Grant N000149511336.
The terminology and notation used in this paper have been
introduced in the following articles
[13]
[8]
[15]
[16]
[17]
[5]
[7]
[6]
[1]
[12]
[14]
[2]
[10]
[3]
[4]
[11]
[18]
[9]

Preliminaries

The lattice of closure operators

The lattice of closure systems

Isomorphism between closure operators and closure systems

Isomorphism between closure operators preserving directed sups and subalgebras
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Received January 15, 1997
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