Isometries in ordered groups

Jiří Rachůnek

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 2, page 334-341
  • ISSN: 0011-4642

How to cite

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Rachůnek, Jiří. "Isometries in ordered groups." Czechoslovak Mathematical Journal 34.2 (1984): 334-341. <http://eudml.org/doc/13456>.

@article{Rachůnek1984,
author = {Rachůnek, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {lattice-ordered groups; absolute value; metric; isometries; abelian Riesz groups},
language = {eng},
number = {2},
pages = {334-341},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Isometries in ordered groups},
url = {http://eudml.org/doc/13456},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Rachůnek, Jiří
TI - Isometries in ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 2
SP - 334
EP - 341
LA - eng
KW - lattice-ordered groups; absolute value; metric; isometries; abelian Riesz groups
UR - http://eudml.org/doc/13456
ER -

References

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  1. A. Bigard K. Keimel S. Wolfenstein, Groupes et Anneaux Réticulés, Berlin-Heidelberg- New York, 1977. (1977) MR0552653
  2. L. Fuchs, Riesz groups, Ann. Sc. Norm. Super. Pisa, Ser. III, Vol. XIX, Fase. I (1965), 1-34. (1965) Zbl0125.28703MR0180609
  3. L. Fuchs, Partially ordered algebraic systems, (Russian), Moscow, 1965. (1965) MR0218283
  4. J. Jakubík, Isometries of lattice ordered groups, Czech. Math. J. 30 (105) (1980), 142-152. (1980) MR0565917
  5. J. Jakubík, On isometries of non-abelian lattice ordered groups, Math. Slovaca 31 (1981), 171-175. (1981) MR0611629
  6. K. L. N. Swamy, 10.1007/BF01375523, Math. Ann. 154 (1964), 406-412. (1964) MR0162867DOI10.1007/BF01375523
  7. K. L. N. Swamy, 10.1007/BF01364335, Math. Ann. 160 (1965), 64-71. (1965) MR0191851DOI10.1007/BF01364335
  8. K. L. N. Swamy, 10.1007/BF02485370, Alg. Univ. 8 (1978), 59-64. (1978) Zbl0409.06007MR0463074DOI10.1007/BF02485370
  9. K. L. N. Swamy, Isometries in autometrized lattice ordered groups II, Math. Sem. Notes Kobe Univ. 5 (1977), 211-214. (1977) Zbl0457.06015MR0463075

Citations in EuDML Documents

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  1. Milan Jasem, On intrinsic quasimetrics preserving maps on non-abelian partially ordered groups
  2. Milan Jasem, Isometries in Riesz groups
  3. Milan Jasem, On dilations and contractions in Riesz groups
  4. Ján Jakubík, On intervals and isometries of M V -algebras
  5. Ján Jakubík, Weak isometries of lattice ordered groups
  6. Ján Jakubík, Isometries of M V -algebras
  7. Milan Jasem, Weak isometries in directed groups
  8. Milan Jasem, On isometries in partially ordered groups
  9. Milan Jasem, Isometries in non-abelian multilattice groups
  10. Milan Jasem, Weak isometries and direct decompositions of dually residuated lattice ordered semigroups

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