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Principal congruences of double demi-p-lattices

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Abstract

A formula is given to express a principal congruence on a double demi-p-lattice as a join of countably many principal lattice congruences. It is then applied to show that the variety of double demi-p-lattices has the congruence extension property. As special cases one obtains some known results for distributive doublep-lattices due to T. Hecht and T. Katriňák.

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Author notes

  1. Hanamantagouda P. Sankappanavar

    Present address: Department of Mathematics & Computer Science, State University of New York, 12561, New Paltz, New York, USA

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  1. Department of Pure Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Hanamantagouda P. Sankappanavar

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  1. Hanamantagouda P. Sankappanavar
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Sankappanavar, H.P. Principal congruences of double demi-p-lattices. Algebra Universalis 27, 248–253 (1990). https://doi.org/10.1007/BF01182457

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  • DOI: https://doi.org/10.1007/BF01182457

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