Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998
Association of Mizar Users
On the Characterization of Modular and Distributive Lattices
-
Adam Naumowicz
-
University of Bialystok
Summary.
-
This article contains definitions of the ``pentagon'' lattice $N_5$
and the ``diamond'' lattice $M_3$. It is followed by the characterization of
modular and distributive lattices depending on the possible shape of substructures.
The last part treats of interval-like sublattices of any lattice.
This work has been supported by
KBN Grant 8 T11C 018 12.
The terminology and notation used in this paper have been
introduced in the following articles
[11]
[10]
[13]
[14]
[5]
[6]
[12]
[2]
[3]
[9]
[15]
[7]
[8]
[4]
[1]
-
Preliminaries
-
Main Part
-
Diamond and Pentagon
-
Intervals of a Lattice
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Received April 3, 1998
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