Compatibility and central elements in pseudo-effect algebras

Paolo Vitolo

Kybernetika (2010)

  • Volume: 46, Issue: 6, page 996-1008
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Vitolo, Paolo. "Compatibility and central elements in pseudo-effect algebras." Kybernetika 46.6 (2010): 996-1008. <http://eudml.org/doc/196427>.

@article{Vitolo2010,
abstract = {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.},
author = {Vitolo, Paolo},
journal = {Kybernetika},
keywords = {pseudo-effect algebra; lattice pseudo-effect algebra; pseudo-MV-algebra; compatible elements; central element; pseudo-effect algebra; lattice pseudo-effect algebra; pseudo MV-algebra; compatibility; central element},
language = {eng},
number = {6},
pages = {996-1008},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Compatibility and central elements in pseudo-effect algebras},
url = {http://eudml.org/doc/196427},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Vitolo, Paolo
TI - Compatibility and central elements in pseudo-effect algebras
JO - Kybernetika
PY - 2010
PB - Institute of Information Theory and Automation AS CR
VL - 46
IS - 6
SP - 996
EP - 1008
AB - 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.
LA - eng
KW - pseudo-effect algebra; lattice pseudo-effect algebra; pseudo-MV-algebra; compatible elements; central element; pseudo-effect algebra; lattice pseudo-effect algebra; pseudo MV-algebra; compatibility; central element
UR - http://eudml.org/doc/196427
ER -

References

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  11. Dvurečenskij, A., Vetterlein, T., 10.1023/A:1004144832348, II. Group representations. Internat. J. Theoret. Phys. 40 (2001), 3, 703–726. (2001) Zbl0994.81009MR1831593DOI10.1023/A:1004144832348
  12. Dvurečenskij, A., Vetterlein, T., On pseudo-effect algebras which can be covered by pseudo MV-algebras, Demonstratio Math. 36 (2003), 2, 261–282. (2003) Zbl1039.03049MR1984338
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