The structure of congruence lattices of finite semilattices

K. V. Adaricheva

Research output: Contribution to journalArticlepeer-review


G. Zhitomirskii gave a description of congruence lattices of semilattices in the second-order language. Here we describe finite lattices belonging to this class in terms of properties shared by coatoms (minimal nonidentity elements of a lattice). As a consequence, a characterization of finite semilattices with isomorphic congruence lattices is obtained.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalAlgebra and Logic
Issue number1
Publication statusPublished - Jan 1 1996

ASJC Scopus subject areas

  • Analysis
  • Logic

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