Geodesic
Decompositions in Complete Lattices
Algebra i logika, Tome 40 (2001) no. 6, pp. 685-697.

Voir la notice de l'article provenant de la source Math-Net.Ru

We give descriptions of lattices that have (unique) irredundant decompositions and decompositions with the replacement property in a class of fully join semidistributive upper continuous lattices and in a class of upper and lower continuous lattices. In particular, it is stated that unique irredundant decompositions in the classes in question coincide with minimal.
Keywords: lattice, semidistributive upper lattice, upper continuous lattice, upper and lower continuous lattice, irredundant decomposition. 
@article{AL_2001_40_6_a3,
     author = {M. V. Semenova},
     title = {Decompositions in {Complete} {Lattices}},
     journal = {Algebra i logika},
     pages = {685--697},
     publisher = {mathdoc},
     volume = {40},
     number = {6},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2001_40_6_a3/}
}
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M. V. Semenova. Decompositions in Complete Lattices. Algebra i logika, Tome 40 (2001) no. 6, pp. 685-697. http://geodesic.mathdoc.fr/item/AL_2001_40_6_a3/