Linearly quasiordered compact semigroups
Author:
N. J. Rothman
Journal:
Proc. Amer. Math. Soc. 13 (1962), 352357
MSC:
Primary 54.80
MathSciNet review:
0138094
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References 
Similar Articles 
Additional Information
 [1]
A. H. Clifford, Connected ordered topological semigroups with idempotent endpoints. I, Trans. Amer. Math. Soc. 88 (1958), 8098.
 [2]
R. P. Hunter, Certain upper semicontinuous decompositions of a semigroup, Duke Math. J. 27 (1960), 283289.
 [3]
R. P. Hunter and N. J. Rothman, Characters and cross sections for certain semigroups, Duke Math J. (to appear).
 [4]
R. J. Koch, On monothetic semigroups, Proc. Amer. Math. Soc. 8 (1957), 397401.
 [5]
, Arcs in partially ordered spaces, Pacific J. Math. 9 (1959), 723728.
 [6]
R. J. Koch and A. D. Wallace, Maximal ideals in compact semigroups, Duke Math. J. 21 (1954), 681686.
 [7]
P. S. Mostert and A. L. Shields, One parameter semigroups in a semigroup, Trans. Amer. Math. Soc. 96 (1960), 510517.
 [8]
L. Nachbin, Topologia e Ordem, Univ. of Chicago Press, Chicago, 1950.
 [9]
K. Numakura, On bicompact semigroups, Math. J. Okayama Univ. 1 (1952), 99108.
 [10]
L. E. Ward, Jr., Partially ordered topological spaces, Proc. Amer. Math. Soc. 5 (1954), 144161.
 [11]
A. D. Wallace, The structure of topological semigroups, Bull. Amer. Math. Soc. 61 (1955), 95112.
 [1]
 A. H. Clifford, Connected ordered topological semigroups with idempotent endpoints. I, Trans. Amer. Math. Soc. 88 (1958), 8098.
 [2]
 R. P. Hunter, Certain upper semicontinuous decompositions of a semigroup, Duke Math. J. 27 (1960), 283289.
 [3]
 R. P. Hunter and N. J. Rothman, Characters and cross sections for certain semigroups, Duke Math J. (to appear).
 [4]
 R. J. Koch, On monothetic semigroups, Proc. Amer. Math. Soc. 8 (1957), 397401.
 [5]
 , Arcs in partially ordered spaces, Pacific J. Math. 9 (1959), 723728.
 [6]
 R. J. Koch and A. D. Wallace, Maximal ideals in compact semigroups, Duke Math. J. 21 (1954), 681686.
 [7]
 P. S. Mostert and A. L. Shields, One parameter semigroups in a semigroup, Trans. Amer. Math. Soc. 96 (1960), 510517.
 [8]
 L. Nachbin, Topologia e Ordem, Univ. of Chicago Press, Chicago, 1950.
 [9]
 K. Numakura, On bicompact semigroups, Math. J. Okayama Univ. 1 (1952), 99108.
 [10]
 L. E. Ward, Jr., Partially ordered topological spaces, Proc. Amer. Math. Soc. 5 (1954), 144161.
 [11]
 A. D. Wallace, The structure of topological semigroups, Bull. Amer. Math. Soc. 61 (1955), 95112.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002993919620138094X
PII:
S 00029939(1962)0138094X
Article copyright:
© Copyright 1962
American Mathematical Society
