I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2007, VOLUME 13, NUMBER 4, PAGES 121-144
V. G. Kumarov
View as HTML View as gif image
In this paper, the partially ordered set of idempotent matrices over
distributive lattices with the partial order induced by a set of
lattice matrices is studied.
It is proved that this set is a lattice; the formulas for meet
and join calculation are obtained.
In the lattice of idempotent matrices over a finite distributive
lattice, all atoms and coatoms are described.
We prove that the lattice of quasi-orders over an
|Main page||Contents of the journal||News||Search|
Last modified: November 28, 2007