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Subdirectly Irreducible Double Demi-p-Lattices

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Abstract

The aim of this paper is to give a characterization of the (finitely) subdirectly irreducible double demi-p-lattices. First, we prove a congruence representation theorem for double demi-p-lattices, which is a natural analogue of the theorem given in [2] for double p-algebras. These results are inspired by the representation theorem given by Lakser [6] for p-algebras, and yield a natural approach to the study of subdirectly irreducible algebras.

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Gramaglia, H. Subdirectly Irreducible Double Demi-p-Lattices. Acta Mathematica Hungarica 88, 323–329 (2000). https://doi.org/10.1023/A:1026780107601

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