On a characterization of the lattice of subsystems of a transition system (Q2468992)
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| Language | Label | Description | Also known as |
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| English | On a characterization of the lattice of subsystems of a transition system |
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On a characterization of the lattice of subsystems of a transition system (English)
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1 February 2008
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Summary: It was first proved by Birkhoff and Frink, and the result now belongs to the folklore, that any algebraic lattice is up to isomorphism the lattice of subuniverses of a universal algebra. A study of subsystems of a transition system yields a new algebraic concept, that of a strongly algebraic lattice. We give here a representation theorem in the manner of Birkhoff and Frink for such lattices.
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subsystems of transition system
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strongly algebraic lattice
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representation theorem
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