On free M V -algebras

Ján Jakubík

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 2, page 311-317
  • ISSN: 0011-4642

Abstract

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In the present paper we show that free M V -algebras can be constructed by applying free abelian lattice ordered groups.

How to cite

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Jakubík, Ján. "On free $MV$-algebras." Czechoslovak Mathematical Journal 53.2 (2003): 311-317. <http://eudml.org/doc/30779>.

@article{Jakubík2003,
abstract = {In the present paper we show that free $MV$-algebras can be constructed by applying free abelian lattice ordered groups.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {$MV$-algebra; abelian lattice ordered group; free generators; MV-algebra; abelian lattice ordered group; free generators},
language = {eng},
number = {2},
pages = {311-317},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On free $MV$-algebras},
url = {http://eudml.org/doc/30779},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Jakubík, Ján
TI - On free $MV$-algebras
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 311
EP - 317
AB - In the present paper we show that free $MV$-algebras can be constructed by applying free abelian lattice ordered groups.
LA - eng
KW - $MV$-algebra; abelian lattice ordered group; free generators; MV-algebra; abelian lattice ordered group; free generators
UR - http://eudml.org/doc/30779
ER -

References

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  3. Lattice Ordered Groups, Tulane University, 1970. (1970) Zbl0258.06011
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  6. 10.2307/2268660, J.  Symbolic Logic 16 (1951), 1–13. (1951) Zbl0043.00901MR0041799DOI10.2307/2268660
  7. 10.1016/0022-1236(86)90015-7, J. Funct. Anal. 65 (1986), 15–63. (1986) MR0819173DOI10.1016/0022-1236(86)90015-7
  8. 10.1007/BF01398232, Math. Ann. 151 (1963), 187–199. (1963) Zbl0114.25801MR0153759DOI10.1007/BF01398232
  9. 10.1007/BF01362439, Math. Ann. 159 (1965), 217–222. (1965) Zbl0138.26201MR0181668DOI10.1007/BF01362439

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