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Congruences on equivalence algebras

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Abstract.

A certain class of atomic, semimodular, semisimple partition lattices is studied. It is shown that this class is precisely the class of congruence lattices of equivalence algebras.

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Authors and Affiliations

  1. Centro de Álgebra da Universidade de Lisboa, Av. Prof. Gama Pinto, 2, 1649-003, Lisboa, Portugal

    Agostinho Almeida

  2. Departamento de Matemática, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, Edifício C1, Piso 3, P-1749-016, Lisboa, Portugal

    Margarita Ramalho

Authors
  1. Agostinho Almeida
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  2. Margarita Ramalho
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Correspondence to Agostinho Almeida.

Additional information

Received April 2, 2006; accepted in final form September 12, 2006.

The first author is granted by project POCTI-ISFL-1-143 of the “Centro de Álgebra da Universidade de Lisboa”, supported by FCT and FEDER.

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Almeida, A., Ramalho, M. Congruences on equivalence algebras. Algebra univers. 57, 383–392 (2007). https://doi.org/10.1007/s00012-007-2031-3

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  • DOI: https://doi.org/10.1007/s00012-007-2031-3

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