Some structure theorems for lattice-ordered groups
Author:
Paul Conrad
Journal:
Trans. Amer. Math. Soc. 99 (1961), 212-240
MSC:
Primary 20.00
DOI:
https://doi.org/10.1090/S0002-9947-1961-0121405-2
MathSciNet review:
0121405
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References | Similar Articles | Additional Information
- [1] Bernhard Banaschewski, Über die Vervollständigung geordneter Gruppen, Math. Nachr. 16 (1957), 51–71 (German). MR 87662, https://doi.org/10.1002/mana.19570160103
- [2] Garrett Birkhoff, Lattice Theory, American Mathematical Society Colloquium Publications, vol. 25, revised edition, American Mathematical Society, New York, N. Y., 1948. MR 0029876
- [3] Tae Ho Choe, The interval topology of a lattice ordered group, Kyungpook Math. J. 1 (1958), 69–74. MR 104739
- [4] Paul Conrad, The structure of a lattice-ordered group with a finite number of disjoint elements, Michigan Math. J 7 (1960), 171–180. MR 0116059
- [5] Ján Jakubík, Konvexe Ketten in 𝑙-Gruppen, Časopis Pěst. Mat. 84 (1959), 53–63 (German, with Slovak and Russian summaries). MR 0104740
- [6] E. S. Northam, The interval topology of a lattice, Proc. Amer. Math. Soc. 4 (1953), 824–827. MR 57534, https://doi.org/10.1090/S0002-9939-1953-0057534-2
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1961-0121405-2
Article copyright:
© Copyright 1961
American Mathematical Society