Archimedean equivalence for strictly positive lattice-ordered semigroups

Marlow Anderson

Czechoslovak Mathematical Journal (1986)

  • Volume: 36, Issue: 1, page 18-27
  • ISSN: 0011-4642

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Anderson, Marlow. "Archimedean equivalence for strictly positive lattice-ordered semigroups." Czechoslovak Mathematical Journal 36.1 (1986): 18-27. <http://eudml.org/doc/13551>.

@article{Anderson1986,
author = {Anderson, Marlow},
journal = {Czechoslovak Mathematical Journal},
keywords = {archimedean equivalence; lattice-ordered semigroups; nil-semigroup; subdirect product of steps},
language = {eng},
number = {1},
pages = {18-27},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Archimedean equivalence for strictly positive lattice-ordered semigroups},
url = {http://eudml.org/doc/13551},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Anderson, Marlow
TI - Archimedean equivalence for strictly positive lattice-ordered semigroups
JO - Czechoslovak Mathematical Journal
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 1
SP - 18
EP - 27
LA - eng
KW - archimedean equivalence; lattice-ordered semigroups; nil-semigroup; subdirect product of steps
UR - http://eudml.org/doc/13551
ER -

References

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  1. M. Anderson, Classes of lattice-ordered semigroups describable in terms of chains, to appear. 
  2. M. Anderson, C. С. Edwards, Lattice properties of the symmetric weakly inverse semigroup on a totally ordered set, J. Austral. Math. Soc. 23 (1981), 395-404. (1981) Zbl0488.06010MR0638267
  3. M. Anderson, C. C. Edwards, 10.4153/CMB-1984-034-6, Canad. Math. Bull., 27 (1984), 238-240. (1984) Zbl0487.06004MR0740420DOI10.4153/CMB-1984-034-6
  4. A. Bigard K. Keimel, S. Wolfenstein, Groups et Anneaux Reticules, Springer-Verlag, Berlin, 1977. (1977) Zbl0384.06022MR0552653
  5. A. H. Clifford, G. B. Preston, The Algebraic Theory of Semigroups, Volume II, AMS, Providence, 1967. (1967) Zbl0178.01203MR0218472
  6. P. Conrad, Archimedean extensions of lattice-ordered groups, J. Indian Math. Soc. 30 (1966), 131-160. (1966) Zbl0168.27702MR0224519
  7. P. Conrad J. Harvey, C. Holland, 10.1090/S0002-9947-1963-0151534-0, Trans. A.M.S. 108 (1963), 143-169. (1963) Zbl0126.05002MR0151534DOI10.1090/S0002-9947-1963-0151534-0
  8. L. Fuchs, Teilweise geordnete algebraische Strukturen, Akademiai Kiado, Budapest, 1966. (1966) Zbl0154.00708MR0204547
  9. H. Hahn, Über die nichtarchimedischen Grossensysteme, Sitz. ber. K. Akad. der Wiss., Math. Nat. Kl. IIa 116 (1907), 601-655. (1907) Zbl38.0501.01
  10. O. Holder, Die Axiome der Quantitat und die Lehre vom Mass, Ber. Verh. Sachs. Ges. Wiss. Leipzig, Math.-Phys. Cl. 53 (1901), 1-64. (1901) Zbl32.0079.01
  11. W. C. Holland, 10.1307/mmj/1028998976, Michigan Math. J. 10 (1963), 399-408. (1963) Zbl0116.02102MR0158009DOI10.1307/mmj/1028998976
  12. D. Khoun, Cardinal des groupes reticules, C. R. Acad. Sc. Paris 270 (1970) A1150-A1154. (1970) 
  13. T. Merlier, Nildemi-groupes totalement ordonnes, Czech. Math. J. 24 (99) (1974), 403-410. (1974) Zbl0321.06014MR0347700
  14. T. Saito, 10.1017/S1446788700006200, J. Austral. Math. Soc. 8 (1968), 547-556. (1968) Zbl0159.02803MR0230661DOI10.1017/S1446788700006200
  15. T. Saito, Archimedean classes in a nonnegatively ordered semigroup, J. Indian Math. Soc. 43 (1979), 79-104. (1979) Zbl0528.06016MR0682004
  16. T. Saito, Nonnegatively ordered semigroups in the strict sense and problems of Satyanarayana, I. Proc. 3rd Symposium on Semigroups (Inter-Univ. Sem. House of Kansai, Kobe, 1979), Osaka Univ., Osaka, 1980, 45-49. (1979) Zbl0512.06012MR0571699

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