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Comparison of subset systems

Evelyn Nelson, Jiří Adámek, Andreas Jung, Jan Reiterman, Andrzej Tarlecki (1988)

Commentationes Mathematicae Universitatis Carolinae

Compatibility and central elements in pseudo-effect algebras

Paolo Vitolo (2010)

Kybernetika

An equivalent definition of compatibility in pseudo-effect algebras is given, and its relationships with central elements are investigated. Furthermore, pseudo-MV-algebras are characterized among pseudo-effect algebras by means of compatibility.

Complemented ordered sets

Ivan Chajda (1992)

Archivum Mathematicum

We introduce the concept of complementary elements in ordered sets. If an ordered set S is a lattice, this concept coincides with that for lattices. The connections between distributivity and the uniqueness of complements are shown and it is also shown that modular complemented ordered sets represents “geometries” which are more general than projective planes.

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