Free poset algebras and combinatorics of cones |
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Authors: | Mustapha Alami Mohamed Bekkali Latifa Faouzi Driss Zhani |
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Affiliation: | (1) Fez University, P.O. Box 2202, Fez, 30000, Morocco;(2) Fez University, P.O. Box 1796, Fez, 30000, Morocco |
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Abstract: | In Free poset Boolean algebra F(P ), uniqueness of normal form of non-zero elements is proved and the notion of support of a non-zero element is, therefore,
well defined. An Inclusion–Exclusion-like formula is given by defining, for each non-zero element x, using support of x ∈F(P ) in a very natural way.
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Keywords: | Free poset algebras Interval algebras Pseudo-tree algebras Semigroup algebras Length of element |
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