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Congruence Lattices of Finite Semimodular Lattices

Published online by Cambridge University Press:  20 November 2018

G. Grätzer ,
H. Lakser  and
E. T. Schmidt
G. Grätzer
Affiliation:
Department of Mathematics University of Manitoba Winnipeg, Manitoba R3T 2N2, e-mail: gratzer@cc.umanitoba.ca
H. Lakser
Affiliation:
Department of Mathematics University of Manitoba Winnipeg, Manitoba R3T 2N2, e-mail: hlakser@cc.umanitoba.ca
E. T. Schmidt
Affiliation:
Mathematical Institute Technical University of Budapest Műegyetem rkp. 3 H-1521 Budapest Hungary, e-mail: schmidt@euromath.vma.bme.hu
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Abstract

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We prove that every finite distributive lattice can be represented as the congruence lattice of a finite (planar) semimodular lattice.

Keywords

06B1008A05Congruence latticesemimodularplanarfinite
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 3 , 01 September 1998 , pp. 290 - 297
Copyright
Copyright © Canadian Mathematical Society 1998

References

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