On varieties of pseudo M V -algebras

Ján Jakubík

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 4, page 1031-1040
  • ISSN: 0011-4642

Abstract

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In this paper we investigate the relation between the lattice of varieties of pseudo M V -algebras and the lattice of varieties of lattice ordered groups.

How to cite

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Jakubík, Ján. "On varieties of pseudo $MV$-algebras." Czechoslovak Mathematical Journal 53.4 (2003): 1031-1040. <http://eudml.org/doc/30833>.

@article{Jakubík2003,
abstract = {In this paper we investigate the relation between the lattice of varieties of pseudo $MV$-algebras and the lattice of varieties of lattice ordered groups.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {pseudo $MV$-algebras; lattice ordered group; unital lattice ordered group; variety; pseudo MV-algebras; lattice-ordered group; unital lattice-ordered group; variety},
language = {eng},
number = {4},
pages = {1031-1040},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On varieties of pseudo $MV$-algebras},
url = {http://eudml.org/doc/30833},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Jakubík, Ján
TI - On varieties of pseudo $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 4
SP - 1031
EP - 1040
AB - In this paper we investigate the relation between the lattice of varieties of pseudo $MV$-algebras and the lattice of varieties of lattice ordered groups.
LA - eng
KW - pseudo $MV$-algebras; lattice ordered group; unital lattice ordered group; variety; pseudo MV-algebras; lattice-ordered group; unital lattice-ordered group; variety
UR - http://eudml.org/doc/30833
ER -

References

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  1. Algebraic Foundations of many-valued Reasoning, Trends in Logic, Studia Logica Library, Vol.  7, Kluwer Academic Publishers, Dordrecht, 2000. (2000) MR1786097
  2. 10.1017/S1446788700036806, J.  Austral. Math. Soc. (Ser.  A) 72 (2002), 427–445. (2002) MR1902211DOI10.1017/S1446788700036806
  3. States on pseudo M V -algebras, Studia Logica (to appear). (to appear) MR1865858
  4. Pseudo M V -algebras: a noncommutative extension of M V -algebras, In: The Proceedings of the Fourth International Symposium on Economic Informatics, Buchurest, Romania, 1999, pp. 961–968. (1999) MR1730100
  5. Pseudo M V -algebras, Multiple-Valued Logic (a special issue dedicated to Gr. C.  Moisil) 6 (2001), 95–135. (2001) MR1817439
  6. 10.1023/A:1022472528113, Czechoslovak Math.  J. 49 (1999), 163–173. (1999) MR1676813DOI10.1023/A:1022472528113
  7. Direct product decompositions of pseudo M V -algebras, Arch. Math. 37 (2001), 131–142. (2001) MR1838410
  8. 10.1023/A:1021766309509, Czechoslovak Math. J. 52 (2002), 255–273. (2002) MR1905434DOI10.1023/A:1021766309509
  9. Prime spectra of non-commutative generalizations of M V -algebras, (Submitted). 

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