On free M V -algebras

Ján Jakubík

Czechoslovak Mathematical Journal (2003)

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

Abstract

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

How to cite

top

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

top
  1. Lattice Theory, , Providence, 1967. (1967) Zbl0153.02501MR0227053
  2. Algebraic Foundations of Many-Valued Reasoning, Trends in Logic, Studia logica library Vol.  7, Kluwer Academic Publishers, Dordrecht, 2000. (2000) MR1786097
  3. Lattice Ordered Groups, Tulane University, 1970. (1970) Zbl0258.06011
  4. Cyclic ordered groups and M V -algebras, Czechoslovak Math.  J. 43 (1993), 249–263. (1993) Zbl0795.06015MR1211747
  5. Direct product decompositions of M V -algebras, Czechoslovak Math.  J. 44 (1994), 725–739. (1994) 
  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

NotesEmbed ?

top

You must be logged in to post comments.