ON COMPLETE CONGRUENCE LATTICES OF COMPLETE MODULAR LATTICES-Reference-Cited by-同舟云学术

ON COMPLETE CONGRUENCE LATTICES OF COMPLETE MODULAR LATTICES

Published:1991-06 Issue:02 Volume:01 Page:147-160
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

FREESE R.¹,GRÄTZE G.²,SCHMIDT E. T.³

Affiliation:

1. Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822, USA

2. Department of Mathematics, University of Manitoba, Winnipeg, Man. R3T 2N2, Canada

3. Mathematical Research Institute of the Hungarian Academy of Sciences, Budapest, Hungary

Abstract

The lattice of all complete congruence relations of a complete lattice is itself a complete lattice. In 1988, the second author announced the converse: every complete lattice L can be represented as the lattice of complete congruence relations of some complete lattice K. In this paper we improve this result by showing that K can be chosen to be a complete modular lattice.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196791000080

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