Isometries of multilattice groups

Ján Jakubík; Milan Kolibiar

Czechoslovak Mathematical Journal (1983)

  • Volume: 33, Issue: 4, page 602-612
  • ISSN: 0011-4642

How to cite

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Jakubík, Ján, and Kolibiar, Milan. "Isometries of multilattice groups." Czechoslovak Mathematical Journal 33.4 (1983): 602-612. <http://eudml.org/doc/13418>.

@article{Jakubík1983,
author = {Jakubík, Ján, Kolibiar, Milan},
journal = {Czechoslovak Mathematical Journal},
keywords = {isometries; direct decompositions; lattice ordered groups; abelian distributive multilattice groups},
language = {eng},
number = {4},
pages = {602-612},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Isometries of multilattice groups},
url = {http://eudml.org/doc/13418},
volume = {33},
year = {1983},
}

TY - JOUR
AU - Jakubík, Ján
AU - Kolibiar, Milan
TI - Isometries of multilattice groups
JO - Czechoslovak Mathematical Journal
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 33
IS - 4
SP - 602
EP - 612
LA - eng
KW - isometries; direct decompositions; lattice ordered groups; abelian distributive multilattice groups
UR - http://eudml.org/doc/13418
ER -

References

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  1. M. Benado, Sur la théorie de la divisibilité, Acad. R. P. Romine, Bui. Sti. Sect. Mat. Fiz. 6, (1954), 263-270. (1954) Zbl0057.25301MR0067089
  2. P. Conrad, Lattice ordered groups, Tulane University 1970. (1970) Zbl0258.06011
  3. Л. Фукс, Частично упорядоченные алгебраические системы, Москва 1965. (1965) Zbl1099.01519
  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. Я. Якубик, Прямые разложения частично упорядоченных групп, II Czech. Math. J. 11 (86), (1961), 490-513. (1961) Zbl1160.68305
  7. D. В. McAlister, 10.1017/S0305004100038962, Ргос. Cambridge Philos. Soc. 61 (1965), 621-638. (1965) Zbl0135.06203MR0175819DOI10.1017/S0305004100038962
  8. D. B. McAlister, On multilattice groups II, Proc. Cambridge Philos. Soc. 62 (1966), 149- 164. (1966) Zbl0138.02702MR0190241
  9. W. B. Powell, On isometries in abelian lattice ordered groups, Preprint, Oklahoma State University. Zbl0614.06012MR0878072
  10. K. L. Swamy, Isometries in autometrized lattice ordered groups, Algebra Univ. 8 (1977), 58-64. (1977) Zbl0457.06015
  11. K. L. Swamy, Isometries in autometrized lattice ordered groups, II, Math. Seminar Notes Kobe Univ. 5 (1977), 211-214. (1977) Zbl0457.06015MR0463075
  12. J. Trias, Lattice isometries in Riesz spaces, Preprint, Univ. Politecnica Barcelona, 1981. (1981) 

Citations in EuDML Documents

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  1. Tibor Katriňák, Seventy years of Professor Milan Kolibiar
  2. Milan Jasem, Isometries in Riesz groups
  3. Milan Jasem, On dilations and contractions in Riesz groups
  4. Anna Avallone, Modular functions on multilattices
  5. Ján Jakubík, Weak isometries of lattice ordered groups
  6. Milan Jasem, Weak isometries in directed groups
  7. Milan Jasem, On isometries in partially ordered groups
  8. Milan Jasem, Weak isometries and direct decompositions of dually residuated lattice ordered semigroups
  9. Milan Jasem, Isometries in non-abelian multilattice groups

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