Compatibility and central elements in pseudo-effect algebras
Kybernetika, Tome 46 (2010) no. 6, pp. 996-1008.

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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.
Classification : 03G12, 06C15
Keywords: pseudo-effect algebra; lattice pseudo-effect algebra; pseudo-MV-algebra; compatible elements; central element
@article{KYB_2010__46_6_a6,
     author = {Vitolo, Paolo},
     title = {Compatibility and central elements in pseudo-effect algebras},
     journal = {Kybernetika},
     pages = {996--1008},
     publisher = {mathdoc},
     volume = {46},
     number = {6},
     year = {2010},
     mrnumber = {2797423},
     zbl = {1226.06005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_6_a6/}
}
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Vitolo, Paolo. Compatibility and central elements in pseudo-effect algebras. Kybernetika, Tome 46 (2010) no. 6, pp. 996-1008. http://geodesic.mathdoc.fr/item/KYB_2010__46_6_a6/