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- W2555699956 abstract "In this paper we consider the finite semimodular lattices as geo- metric shapes. In 2009 I published a paper with Gabor Czedli, (10), we proved that every semimodular lattice L can be obtained from a direct power of a chain G = C n - geometrically a cube - on an easy way: L is the cover-preserving join-homomorphism of G. We introduce the concept of rectangular semimodular lattices and prove that the building stones of finite semimodular lattices are special rectangu- lars, the patch lattices (or pigeonholes). The building tool is a special S-verklebte sum (introduced by Christian Herrmann (21)) this is the patch- work. We prove a structure theorem for finite semimodular lattices: every fi- nite semimodolar lattice is the patchwork of patch lattices. The 2-dimensional case was proved in (5)," @default.
- W2555699956 created "2016-11-30" @default.
- W2555699956 creator A5052026139 @default.
- W2555699956 date "2016-01-01" @default.
- W2555699956 modified "2023-09-27" @default.
- W2555699956 title "A NEW LOOK AT THE SEMIMODULAR LATTICES A GEOMETRIC APPROACH" @default.
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