Direct product decompositions of pseudo M V -algebras

Ján Jakubík

Archivum Mathematicum (2001)

  • Volume: 037, Issue: 2, page 131-142
  • ISSN: 0044-8753

Abstract

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In this paper we deal with the relations between the direct product decompositions of a pseudo M V -algebra and the direct product decomposicitons of its underlying lattice.

How to cite

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Jakubík, Ján. "Direct product decompositions of pseudo $MV$-algebras." Archivum Mathematicum 037.2 (2001): 131-142. <http://eudml.org/doc/262058>.

@article{Jakubík2001,
abstract = {In this paper we deal with the relations between the direct product decompositions of a pseudo $MV$-algebra and the direct product decomposicitons of its underlying lattice.},
author = {Jakubík, Ján},
journal = {Archivum Mathematicum},
keywords = {pseudo $MV$-algebra; direct product decomposition; pseudo MV-algebra; direct product decomposition},
language = {eng},
number = {2},
pages = {131-142},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Direct product decompositions of pseudo $MV$-algebras},
url = {http://eudml.org/doc/262058},
volume = {037},
year = {2001},
}

TY - JOUR
AU - Jakubík, Ján
TI - Direct product decompositions of pseudo $MV$-algebras
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 2
SP - 131
EP - 142
AB - In this paper we deal with the relations between the direct product decompositions of a pseudo $MV$-algebra and the direct product decomposicitons of its underlying lattice.
LA - eng
KW - pseudo $MV$-algebra; direct product decomposition; pseudo MV-algebra; direct product decomposition
UR - http://eudml.org/doc/262058
ER -

References

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  1. Ideals and congruences in generalized M V -algebras, Demonstratio Math. (to appear). (to appear) MR1769414
  2. 10.1007/978-94-015-9480-6, Kluwer Academic Publishers, Dordrecht, 2000. (2000) MR1786097DOI10.1007/978-94-015-9480-6
  3. New Trends in Quantum Structures, Kluwer Academic Publishers, Dordrecht-Boston-London and Ister Science, Bratislava, 2000. (2000) MR1861369
  4. Pseudo M V -algebras are intervals in ℓ -groups, J. Austral. Math. Soc. (to appear). (to appear) 
  5. Pseudo M V -algebras: a noncommutative extension of M V -algebras, In: The Proceedings of the Fourth International Symposium on Economic Informatics, Bucharest, 6–9 May, Romania, 1999, pp. 961–968. (1999) MR1730100
  6. Pseudo M V -algebras, Multiple-Valued Logic (a special issue dedicated to Gr. C. Moisil) 6 (2001), 95–135. (2001) MR1817439
  7. 10.2307/1969532, Annals of Math. 54 (1951), 315–318. (1951) MR0043067DOI10.2307/1969532
  8. Direct products of M V -algebras, Czechoslovak Math. J. 44 (1994), 725–739. (1994) 
  9. Convex chains in a pseudo M V -algebra, Czechoslovak Math. J. (to appear). (to appear) MR1962003
  10. Local pseudo M V -algebras, (submitted). Zbl0992.06011
  11. A non-commutative generalization of M V -algebras, Czechoslovak Math. J. (to appear). (to appear) MR1905434
  12. Prime spectra of non-commutative generalizations of M V -algebras, (submitted). 

Citations in EuDML Documents

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  1. Ján Jakubík, On varieties of pseudo M V -algebras
  2. Ján Jakubík, Convex chains in a pseudo MV-algebra
  3. Ján Jakubík, On intervals and the dual of a pseudo MV-algebra
  4. Jiří Rachůnek, Dana Šalounová, Direct product factors in GMV-algebras
  5. Ján Jakubík, Isometries of generalized M V -algebras
  6. Ján Jakubík, On interval subalgebras of generalized MV-algebras
  7. Ján Jakubík, Direct product decompositions of pseudo effect algebras
  8. Ján Jakubík, Direct product decompositions of bounded commutative residuated ℓ -monoids
  9. Ján Jakubík, On a homogeneity condition for M V -algebras
  10. Ján Jakubík, Direct summands and retract mappings of generalized M V -algebras

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