Weak isometries and direct decompositions of dually residuated lattice ordered semigroups

Milan Jasem

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 2, page 119-136
  • ISSN: 0139-9918

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Jasem, Milan. "Weak isometries and direct decompositions of dually residuated lattice ordered semigroups." Mathematica Slovaca 43.2 (1993): 119-136. <http://eudml.org/doc/34356>.

@article{Jasem1993,
author = {Jasem, Milan},
journal = {Mathematica Slovaca},
keywords = {residuation; commutative lattice-ordered semigroup; isometries; direct product decompositions},
language = {eng},
number = {2},
pages = {119-136},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Weak isometries and direct decompositions of dually residuated lattice ordered semigroups},
url = {http://eudml.org/doc/34356},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Jasem, Milan
TI - Weak isometries and direct decompositions of dually residuated lattice ordered semigroups
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 2
SP - 119
EP - 136
LA - eng
KW - residuation; commutative lattice-ordered semigroup; isometries; direct product decompositions
UR - http://eudml.org/doc/34356
ER -

References

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  2. HOLLAND, CH., Intrinsic metrics for lattice ordered groups, Algebra Universalis 19 (1984), 142-150. (1984) Zbl0557.06011MR0758313
  3. JAKUBÍK J., Isometries of lattice ordered groups, Czechoslovak Math. J. 30 (1980), 142-152. (1980) Zbl0436.06013MR0565917
  4. JAKUBÍK J., On isometries of non-abelian lattice ordered groups, Math. Slovaca 31 (1981), 171-175. (1981) Zbl0457.06014MR0611629
  5. JAKUBÍK J., Weak isometries of lattice ordered groups, Math. Slovaca 38 (1988), 133-138. (1988) Zbl0642.06009MR0945366
  6. JAKUBÍK J., KOLIBIAR M., Isometries of multilattice groups, Czechoslovak Math. J. 33 (1983), 602-612. (1983) Zbl0538.06018MR0721089
  7. JASEM M., Isometries in Riesz groups, Czechoslovak Math. J. 36 (1986), 35-43. (1986) Zbl0603.06007MR0822864
  8. JASEM M., On weak isometries in multilattice groups, Math. Slovaca 40 (1990), 337-340. (1990) Zbl0753.06015MR1120964
  9. JASEM M., Weak isometries and isometries in partially ordered groups, (Submitted). 
  10. JASEM M., Isometries in non-abelian multilattice groups, Czechoslovak Math. J., (To appear). Zbl0890.06012MR1451037
  11. POWELL W. B., On isometries in abelian lattice ordered groups, J. Indian Math. Soc. 46 (1982), 189-194. (1982) MR0878072
  12. RACHŮNEK J., Isometries in ordered groups, Czechoslovak Math. J. 34 (1984), 334-341. (1984) Zbl0558.06020MR0743498
  13. SWAMY K. L. N., A general theory of autometrized algebras, Math. Ann. 157 (1964), 65-74. (1964) Zbl0135.02602MR0170842
  14. SWAMY K. L. N., Dually residuated lattice ordered semigroups, Math. Ann. 159 (1965), 105-114. (1965) Zbl0138.02104MR0183797
  15. SWAMY K. L. N., Dually residuated lattice ordered semigroups. II, Math. Ann. 160 (1965), 64-71. (1965) Zbl0138.02104MR0191851
  16. SWAMY K. L. N., Dually residuated lattice ordered semigroups. III, Math. Ann. 167 (1966), 71-74. (1966) Zbl0158.02601MR0200364
  17. SWAMY K. L. N., Isometries in autometrized lattice ordered groups, Algebra Universalis 8 (1978), 59-64. (1978) Zbl0409.06007MR0463074
  18. SWAMY K. L. N., Isometries in autometrized lattice ordered groups. II, Math. Seminar Notes Kobe Univ. 5 (1977), 211-214. (1977) Zbl0457.06015MR0463075
  19. SWAMY K. L. N., SUBBA RAO B. V., Isometries in dually residuated lattice ordered semigroups, Math. Seminar Notes Kobe Univ. 8 (1980), 369-379. (1980) MR0601906
  20. TRIAS J., Lattice isometries in Riesz spaces, Preprint, Univ. Politecnica Barcelona. (1981). (1981) 

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