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Pseudo-Complementation on Almost Distributive Lattices

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Southeast Asian Bulletin of Mathematics

Abstract

The concept of a pseudo-complementation * on an almost distributive lattice (ADL) with 0 is introduced and it is proved that it is equationally definable. A one-to-one correspondence between the pseudo-complementations on an ADL L with 0 and maximal elements of L is obtained. It is also proved that L* = {a*|a ε L} is a Boolean algebra which is independent (upto isomorphism) of the pseudo-complementation * on L.

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Authors and Affiliations

  1. Department of Mathematics, Andhra University, Visakhapatnam, 530 003, India

    U. M. Swamy, G. C. Rao & G. Nanaji Rao

Authors
  1. U. M. Swamy
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  2. G. C. Rao
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  3. G. Nanaji Rao
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Corresponding author

Correspondence to U. M. Swamy.

Additional information

AMS Subject Classification (1991): 06D99 06D15

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Swamy, U.M., Rao, G.C. & Rao, G.N. Pseudo-Complementation on Almost Distributive Lattices. SEA bull. math. 24, 95–104 (2000). https://doi.org/10.1007/s10012-000-0095-5

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  • DOI: https://doi.org/10.1007/s10012-000-0095-5

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