MMN-677
Characterizations of atomistic complete finite lattices relative to geometric ones
Abstract
S.Radeleczki in 2002 provided an open problem to hope to
characterize those atomistic complete lattices whose
classification lattices are geometric lattices. This paper
discusses some properties relative to atomistic complete finite
lattices and characterizes atomistic complete finite lattices
whose classification lattices are geometric. Meanwhile, it
answers S.Radeleczki's open problem for finite cases.
discusses some properties relative to atomistic complete finite lattices and characterizes
atomistic complete finite lattices whose classification lattices are geometric. Meanwhile,
it answers S.Radeleczki’s open problem for finite cases.
Vol. 17 (2016), No. 1, pp. 421-440
DOI: 10.18514/MMN.2016.677