Distinguished extensions of an M V -algebra

Ján Jakubík

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 4, page 867-876
  • ISSN: 0011-4642

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Jakubík, Ján. "Distinguished extensions of an $MV$-algebra." Czechoslovak Mathematical Journal 49.4 (1999): 867-876. <http://eudml.org/doc/30531>.

@article{Jakubík1999,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {MV-algebra; abelian lattice ordered group; distinguished extension; distinguished completion},
language = {eng},
number = {4},
pages = {867-876},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Distinguished extensions of an $MV$-algebra},
url = {http://eudml.org/doc/30531},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Jakubík, Ján
TI - Distinguished extensions of an $MV$-algebra
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 4
SP - 867
EP - 876
LA - eng
KW - MV-algebra; abelian lattice ordered group; distinguished extension; distinguished completion
UR - http://eudml.org/doc/30531
ER -

References

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  1. 10.2140/pjm.1967.21.405, Pacific J. Math 31 (1967), 405–420. (1967) Zbl0157.34301MR0211927DOI10.2140/pjm.1967.21.405
  2. The distinguished completion of a lattice ordered group, In: Algebra Carbondale 1980, Lecture Notes Math. 848, Springer Verlag, 1980, pp. 208–217. (1980) MR0613187
  3. 10.1007/BF01198525, Algebra Univ. 18 (1984), 134–174. (1984) Zbl0539.06008MR0743464DOI10.1007/BF01198525
  4. Completions of ℓ -groups, In: Lattice ordered groups, A. M. W. Glass and W. C. Holland, editors, Kluwer, Dordrecht-Boston-London, 1989, Chapter 7, 142–177. MR1036077
  5. 10.1007/BF01190971, Algebra Univ. 35 (1996), 85–112. (1996) Zbl0842.06012MR1360533DOI10.1007/BF01190971
  6. Lattice Theory, Revised Edition, New York, 1948. (1948) Zbl0033.10103MR0029876
  7. Cyclic ordered groups and M V -algebras, Czechoslovak Math. J. 43 (1993), 249–263. (1993) Zbl0795.06015MR1211747
  8. Direct product decompositions of M V -algebras, Czechoslovak Math. J. 44 (1994), 725–739. (1994) 
  9. 10.1016/0022-1236(86)90015-7, J. Functional Anal. 65 (1986), 15–53. (1986) MR0819173DOI10.1016/0022-1236(86)90015-7

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