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Representation of finite demi-p-lattices by means of posets

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Abstract

Finite demi-p-lattices are described in terms of the poset of its join irreducible elements endowed with a suitable set of maps. Description of the free algebras of demi-p-lattices and almost-p-lattices with n free generators are given.

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Research supported by the CDCHT (project C-602-93) of the Universidad de los Andes, Mérida, Venezuela.

Editors' Note: Demi-p-lattices are semi-deMorgan algebras, the topic of D. Hobby's contribution to this special edition. H. Gaitan's results were obtained independently.

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Gaitan, H. Representation of finite demi-p-lattices by means of posets. Stud Logica 56, 97–110 (1996). https://doi.org/10.1007/BF00370142

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  • DOI: https://doi.org/10.1007/BF00370142

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