Isometries and direct decompositions of pseudo MV-algebras

Milan Jasem

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 2, page [107]-118
  • ISSN: 0139-9918

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Jasem, Milan. "Isometries and direct decompositions of pseudo MV-algebras." Mathematica Slovaca 57.2 (2007): [107]-118. <http://eudml.org/doc/34632>.

@article{Jasem2007,
author = {Jasem, Milan},
journal = {Mathematica Slovaca},
keywords = {pseudo MV-algebra; lattice-ordered group; isometry; direct decomposition},
language = {eng},
number = {2},
pages = {[107]-118},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Isometries and direct decompositions of pseudo MV-algebras},
url = {http://eudml.org/doc/34632},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Jasem, Milan
TI - Isometries and direct decompositions of pseudo MV-algebras
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 2
SP - [107]
EP - 118
LA - eng
KW - pseudo MV-algebra; lattice-ordered group; isometry; direct decomposition
UR - http://eudml.org/doc/34632
ER -

References

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  1. CHANG C. C., Algebraic analysis of many-valued logics, Trans. Amer. Math. Soc. 88 (1958), 467-490. (1958) Zbl0084.00704MR0094302
  2. DVUREČENSKIJ A., Pseudo MV-algebras are intervals in l-groups, J. Aust Math. Soc. 72 (2002), 427-445. MR1902211
  3. DVUREČENSKIJ A.-VETTERLEIN T., Pseudoeffect algebras. I. Basic properties; II. Group representations, Internat. J. Theoret. Phys. 40 (2001), 685-701; 703-726. MR1831592
  4. GEORGESCU G.-IORGULESCU A., Pseudo MV algebras, Mult.-Valued Log. 6 (2001), 95-135. Zbl1014.06008MR1817439
  5. GEORGESCU G.-IORGULESCU A., Pseudo MV algebras: A non-commutative extension of MV-algebras, In: The Proceeding of the Fourth International Symposium on Economic Informatics, 6-9 May, INFOREC Printing House, Bucharest, 1999, pp. 961-968. (1999) 
  6. GLASS A. M. W., Partially Ordered Groups, Series in Algebra 7, World Scientific, Singapore, 1999. (1999) Zbl0933.06010MR1791008
  7. JAKUBÍK J., Isometrics of lattice ordered groups, Czechoslovak Math. J. 30 (127) (1980), 142-152. (1980) MR0565917
  8. JAKUBÍK J., On isometries of non-abelian lattice ordered groups, Math. Slovaca 31 (1981), 171-175. (1981) Zbl0457.06014MR0611629
  9. JAKUBÍK J., Direct product decomposition of MV-algebras, Czechoslovak Math. J. 44 (119) (1992), 725-739. (1992) MR1295146
  10. JAKUBÍK J., Direct product decomposition of pseudo MV-algebras, Arch. Math. (Brno) 37 (2001), 131-142. MR1838410
  11. JAKUBÍK J., On intervals and isometries of MV-algebras, Czechoslovak Math. J. 52 (127) (2002), 651-663. Zbl1012.06013MR1923269
  12. JAKUBÍK J., Isometries of MV-algebras, Math. Slovaca 54 (2004), 43-48. Zbl1087.06006MR2074028
  13. JASEM M., Weak isometries and direct decompositions of dually residuated lattice ordered semigroups, Math. Slovaca 43 (1993), 119-136. (1993) Zbl0782.06012MR1274597
  14. JASEM M., Weak isometries in partially ordered groups, Acta Math. Univ. Comenian. (N.S.) 63 (1994), 259-265. (1994) Zbl0821.06016MR1319446
  15. JASEM M., Weak isometries and direct decompositions of partially ordered groups groups, Tatra Mt. Math. Publ. 5 (1995), 131-142. (1995) MR1384803
  16. JASEM M., Isometries in non-abelian multilattice groups, Math. Slovaca 46 (1996), 491-496. (1996) Zbl0890.06012MR1451037
  17. KOVÁŘ T., A general theory of dually residuated lattice ordered semigroups, Ph.D. Thesis, Palacky University, Olomouc 1996. (1996) 
  18. KOVÁŘ T., On (weak) zero-fixing isometries in dually residuated lattice-ordered semi-groups, Math. Slovaca 50 (2000), 123-125. MR1763114
  19. KÜHR J., Pseudo BL-algebras and DRl-monoids, Math. Bohem. 128 (2003), 199-208. MR1995573
  20. KÜHR J., Dually Residuated Lattice Ordered Monoids, Doctoral Thesis, Palacky University, Olomouc, 2003. Zbl1141.06014
  21. KÜHR J., Prime ideals and polars in DRl-monoids and pseudo BL-algebras, Math. Slovaca 53 (2003), 233-246. MR2025020
  22. MUNDICI D., Interpretation of AF C*-algebras in Lukasiewicz sentential calculus, J. Func. Anal. 65 (1986), 15-63. (1986) MR0819173
  23. RACHŮNEK J., Isometries in ordered groups, Czechoslovak Math. J. 34(127) (1984), 334-341. (1984) Zbl0558.06020MR0743498
  24. RACHŮNEK J., DRl-semigroups and MV-algebras, Czechoslovak Math. J. 48(123) (1998), 365-372. (1998) Zbl0952.06014MR1624268
  25. RACHŮNEK J., M V -algebras are categorically equivalent to a class of D R l ( i ) -semi-groups, Math. Bohem. 123 (1998), 437-441. (1998) MR1667115
  26. RACHŮNEK J., Non-commutative generalization of MV-algebras, Czechoslovak Math. J. 52 (127) (2002), 255-273. Zbl1012.06012MR1905434
  27. SWAMY K. L. M., Isometries in autometrized lattice ordered groups, Algebra Universalis 8 (1978), 59-64. (1978) Zbl0409.06007MR0463074
  28. SWAMY K. L. M.-SUBBA RAO B. V., Isometries in dually residuated lattice ordered semigroups, Math. Sem. Notes Kobe Univ. 8 (1980), 369-379. (1980) MR0601906
  29. ŠALOUNOVÁ D., Lex-ideals of D R -monoids and GMV-algebras, Math. Slovaca 53 (2003), 321-330. Zbl1072.06009MR2025465

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