Extremal units in an archimedean Riesz space

Anthony W. Hager; Lewis C. Robertson

Rendiconti del Seminario Matematico della Università di Padova (1978)

  • Volume: 59, page 97-115
  • ISSN: 0041-8994

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Hager, Anthony W., and Robertson, Lewis C.. "Extremal units in an archimedean Riesz space." Rendiconti del Seminario Matematico della Università di Padova 59 (1978): 97-115. <http://eudml.org/doc/107692>.

@article{Hager1978,
author = {Hager, Anthony W., Robertson, Lewis C.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {archimedean Riesz space; maximal ideals; strong unit; Yosida representation; prime ideal},
language = {eng},
pages = {97-115},
publisher = {Seminario Matematico of the University of Padua},
title = {Extremal units in an archimedean Riesz space},
url = {http://eudml.org/doc/107692},
volume = {59},
year = {1978},
}

TY - JOUR
AU - Hager, Anthony W.
AU - Robertson, Lewis C.
TI - Extremal units in an archimedean Riesz space
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1978
PB - Seminario Matematico of the University of Padua
VL - 59
SP - 97
EP - 115
LA - eng
KW - archimedean Riesz space; maximal ideals; strong unit; Yosida representation; prime ideal
UR - http://eudml.org/doc/107692
ER -

References

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  1. [AH] E.R. Aron - A.W. Hager, Convex vector lattices and l-algebras, to appear. Zbl0458.06012MR600458
  2. [B] G. Birkhoff, Lattice Theory, Third Edition, Providence (1967). Zbl0153.02501MR227053
  3. [DHH] F.K. Dashiell - A.W. Hager - M. Henriksen, Order-Cauchy completions of rings and vector lattices of continuous functions, to appear. Zbl0462.54009
  4. [E] R. Engelking, Outline of General Topology, Warsaw (1968). Zbl0157.53001MR230273
  5. [GJ] L. Gillman - M. Jerison, Rings of Continuous Functions, Princeton (1960). Zbl0093.30001MR116199
  6. [HR] A.W. Hager - L.C. Robertson, Representing and ringifiying a Riesz space, Symposia Mathematica, XXI (Bologna, 1977), pp. 411-431, Zbl0382.06018MR482728
  7. [HJ] M. Henriksen - D.G. Johnson, On the structure of a class of archimedean lattice-ordered algebras, Fund. Math., 50 (1961), pp. 73-94. Zbl0099.10101MR133698
  8. [I] J.R. Isbell, Uniform spaces, Providence (1964). Zbl0124.15601MR170323
  9. [LZ] W. Luxemburg - A. Zaanen, Riesz spaces, vol. I, Amsterdam (1971). Zbl0231.46014MR511676
  10. [Y] K. Yosida, (1) On vector lattice with unit, Proc. Imp. Acad. Tokyo, 17 (1941), pp. 121-124; Zbl0063.09069MR5795
  11. (2) On the representation of the vector lattice, Proc. Imp. Acad. Tokyo, 18 (1942), pp. 339-342. Zbl0063.09070MR15378

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