Displaying similar documents to “Representation of a Boolean algebra by its triangular norms.”

Boolean structure of triangular norms.

Seyed Abbas Ziaie, S. Ray, Mashallah Mashinchi, Rasool Kamran (1999)

Mathware and Soft Computing

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In this note results obtained by S.Ray (1997) on representation of a Boolean algebra by its triangular norms are generalized.

Boolean semirings

Ivan Chajda, M. Kotrle (1994)

Czechoslovak Mathematical Journal

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A characterization of complete atomic Boolean algebra.

Francesc Esteva (1977)

Stochastica

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In this note we give a characterization of complete atomic Boolean algebras by means of complete atomic lattices. We find that unicity of the representation of the maximum as union of atoms and Lambda-infinite distributivity law are necessary and sufficient conditions for the lattice to be a complete atomic Boolean algebra.