On a characterization of the lattice of subsystems of a transition system

J. P. Mavoungou and C. Nkuimi-Jugnia

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-4

Abstract:

It was first proved by Birkhoff and Frink, and the result nowbelongs to the folklore, that any algebraic lattice is up toisomorphism the lattice of subuniverses of a universal algebra. A study of subsystems of a transition systemyields a new algebraic concept, that of a strongly algebraiclattice. We give here a representation theorem to the manner ofBirkhoff and Frink of such lattices.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:082318

DOI: 10.1155/IJMMS/2006/82318

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