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Congruence lattices ofp-algebras
Authors:G. Grätzer  E. T. Schmidt
Affiliation:(1) Department of Mathematics, University of Manitoba, Man. R3T 2N2, Winnipeg, Canada;(2) Department of Mathematics Transport Engineering Faculty, Technical University of Budapest, Müegyetem RKP. 9, 1111 Budapest, Hungary
Abstract:T. Kartrincaronák proved the following theorem:Every finite distributive lattice is the congruence lattice of a finite p-algebra. We provide a short proof, and a generalization, of this result.Presented by J. Berman.The research of the first author was supported by the NSERC of Canada.The research of the second author was supported by the Hungarian National Foundation for Scientific Research, under Grant No. 1903.
Keywords:
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