Maximal completion of a pseudo MV-algebra

Ján Jakubík

Archivum Mathematicum (2003)

  • Volume: 039, Issue: 2, page 141-161
  • ISSN: 0044-8753

Abstract

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In the present paper we investigate the relations between maximal completions of lattice ordered groups and maximal completions of pseudo M V -algebras.

How to cite

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Jakubík, Ján. "Maximal completion of a pseudo MV-algebra." Archivum Mathematicum 039.2 (2003): 141-161. <http://eudml.org/doc/249120>.

@article{Jakubík2003,
abstract = {In the present paper we investigate the relations between maximal completions of lattice ordered groups and maximal completions of pseudo $MV$-algebras.},
author = {Jakubík, Ján},
journal = {Archivum Mathematicum},
keywords = {pseudo $MV$-algebra; maximal completion; $b$-atomicity; directproduct; -atomicity; direct product},
language = {eng},
number = {2},
pages = {141-161},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Maximal completion of a pseudo MV-algebra},
url = {http://eudml.org/doc/249120},
volume = {039},
year = {2003},
}

TY - JOUR
AU - Jakubík, Ján
TI - Maximal completion of a pseudo MV-algebra
JO - Archivum Mathematicum
PY - 2003
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 039
IS - 2
SP - 141
EP - 161
AB - In the present paper we investigate the relations between maximal completions of lattice ordered groups and maximal completions of pseudo $MV$-algebras.
LA - eng
KW - pseudo $MV$-algebra; maximal completion; $b$-atomicity; directproduct; -atomicity; direct product
UR - http://eudml.org/doc/249120
ER -

References

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  10. Maximal Dedekind completion of an abelian lattice ordered group, Czechoslovak Math. J. 28 (1978), 611–631. (1978) MR0506435
  11. Direct product decompositions of M V -algebras, Czechoslovak Math. J. 44 (1994), 725–739. (1994) 
  12. Complete generators and maximal completions of M V -algebras, Czechoslovak Math. J. 48 (1998), 597–608. (1998) MR1637863
  13. Basic elements in a pseudo M V -algebra, Soft Computing (to appear). (to appear) MR1901010
  14. Direct product decompositions of pseudo M V -algebras, Archivum Math. (to appear). (to appear) MR1838410
  15. Strong subdirect products of M V -algebras, (Submitted). 
  16. A noncommutative generalization of M V -algebras, Czechoslovak Math. J. 25 (2002), 255–273. (2002) 

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