Series-parallel posets and relative Ockham lattices |
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Authors: | G Bordalo H A Priestley |
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Institution: | (1) Departmento de Matematica, Bloco C1, Piso 30, Rua Ernesto Vasconcelos, 1700 Lisboa, Portugal;(2) Mathematical Institute, 24/29 St. Giles, OX13LB Oxford, England |
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Abstract: | A study is undertaken of order-reversing maps on series-parallel posets and structural characterisations are obtained of various subclasses of such ordered sets. The results are applied to complete the authors' earlier investigation of classes
of finite relate
lattices, where
is a variety of Ockham lattices and the distributive lattice duals of the algebras in
are required to be series-parallel. |
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Keywords: | 06A06 06D05 |
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