Free k-cyclic E-lattices over a poset
In this note we consider a new equational class of algebras called E-lattices (A, ^, V, h, 0, 1) where (A, ^, V, 0, 1) is a distributive (0,1)-lattice and h is a lattice endomorphism. We consider the subclass Ek of k-cyclic E-lattices such that h k(x) = x, for all x, k is a positive integer. We determine the structure of the free k-cyclic E-lattice over a poset using results obtained by L. Monteiro in [9[ for the free distributive lattice over a poset.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2005
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262005000100005 |
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