Isometries of M V -algebras

Ján Jakubík

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 1, page 43-48
  • ISSN: 0139-9918

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Jakubík, Ján. "Isometries of $MV$-algebras." Mathematica Slovaca 54.1 (2004): 43-48. <http://eudml.org/doc/31942>.

@article{Jakubík2004,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {MV-algebra; isometry; 2-periodicity; subdirect product decomposition},
language = {eng},
number = {1},
pages = {43-48},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Isometries of $MV$-algebras},
url = {http://eudml.org/doc/31942},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Jakubík, Ján
TI - Isometries of $MV$-algebras
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 1
SP - 43
EP - 48
LA - eng
KW - MV-algebra; isometry; 2-periodicity; subdirect product decomposition
UR - http://eudml.org/doc/31942
ER -

References

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  1. CIGNOLI R.-D'OTTAVIANO I. M. I.-MUNDICI D., Algebraic Foundations of Many-valued Reasoning, Kluwer Academic Publishers, Dordrecht, 2000. Zbl0937.06009MR1786097
  2. GLUSHANKOF D., Cyclic ordered groups and MV-algebras, Czechoslovak Math. J. 44 (1994), 725-739. (1994) 
  3. HOLLAND, CH., Intrinsic metrics for lattice ordered groups, Algebra Universalis 19 (1984), 142-150. (1984) Zbl0557.06011MR0758313
  4. JAKUBÍK J., Isometries of lattice ordered groups, Czechoslovak Math. J. 30 (1980), 142-152. (1980) Zbl0436.06013MR0565917
  5. JAKUBÍK J., Sequential convergences on MV-algebras, Czechoslovak Math. J. 45 (1995), 709-726. (1995) Zbl0845.06009MR1354928
  6. JAKUBÍK J., Subdirect product decompositions of MV-algebras, Czechoslovak Math. J. 49 (1999), 163-173. (1999) Zbl0951.06012MR1676813
  7. JAKUBÍK J., On intervals and isometries of MV-algebras, Czechoslovak Math. J. 52 (2002), 651-663. Zbl1012.06013MR1923269
  8. JASEM M., Weak isometries and direct decompositions of dually residuated lattice ordered semigroups, Math. Slovaca 43 (1993), 119-136. (1993) Zbl0782.06012MR1274597
  9. MUNDICI D., Interpretation of A F C * -algebras in Lukasiewicz sentential calculus, J. Funct. Anal. 65 (1986), 15-63. (1986) MR0819173
  10. POWELL W. B., On isometries in abelian lattice ordered groups, J. Indian Math. Soc. 46 (1982), 189-194. (1982) MR0878072
  11. RACHŮNEK J., Izometries in ordered groups, Czechoslovak Math. J. 34 (1984), 334-341. (1984) MR0743498
  12. SWAMY K. L., Izometries in autometrized lattice ordered groups, Algebra Universalis 8 (1977), 58-64. (1977) MR0463074

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