Abstract. We prove that every finite semimodular lattice has a cover-preserving embedding into a simple semimodular lattice.
AMS Subject Classification
(1991): 06C10, 06B05
Keyword(s):
semimodular lattice,
cover-preserving,
simple,
finite
Received December 19, 2008, and in revised form January 16, 2009. (Registered under 82/2008.)
|