Displaying similar documents to “On the Lebesgue decomposition of a function relative to a p -ideal of an orthomodular lattice”

Ultra L I -ideals in lattice implication algebras

Ke Yun Qin, Yang Xu, Young Bae Jun (2002)

Czechoslovak Mathematical Journal

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We define an ultra L I -ideal of a lattice implication algebra and give equivalent conditions for an L I -ideal to be ultra. We show that every subset of a lattice implication algebra which has the finite additive property can be extended to an ultra L I -ideal.