1 citations · 1 across the 4 of their papers we have counts for
4 papers · 1 filter
Isoform lattices
G. Grätzer, E. T. Schmidt, R. W. Quackenbush
Let be a lattice. We call a congruence relation $\gQ$ of isoform, if any two congruence classes of $\gQ$ are isomorphic (as lattices). Let us call the lattice isoform,…
An extension theorem for planar semimodular lattices
G. Grätzer, E. T. Schmidt
We prove that every finite distributive lattice can be represented as the congruence lattice of a rectangular lattice in which all congruences are principal. We verify this…
The order of principal congruences of a semimodular lattice
G. Grätzer, E. T. Schmidt
This paper has been withdrawn by the authors due to a crucial computational error. In this paper we deal with the finite case. We prove that a finite bounded ordered set can be rep…
Composition series in groups and the structure of slim semimodular lattices
Gabor Czedli, E. Tamas Schmidt
Let H and K be finite composition series of a group G. The intersections H_i\cap K_j of their members form a lattice CSL(H,\K) under set inclusion. Improving the Jordan-Hölder theo…