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The equivalence of uniquely divisible semigroups and uniquely representable semigroups on the two-cell. (English) Zbl 0261.22002

MSC:

22A15 Structure of topological semigroups
20M05 Free semigroups, generators and relations, word problems
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References:

[1] Belinfante, J. G., B. Kolman, and H. A. Smith, ”An Introduction to Lie Groups and Lie Algebras with Applications”,SIAM Review, 8 (Jan., 1966) No. 1, 11–46. · Zbl 0136.29702 · doi:10.1137/1008002
[2] Borrego, J. T., H. Cohen, and E. E. DeVun, ”Uniquely Representable Semigroups on the Two-Cell”,Pac. J. of Math., to appear. · Zbl 0208.03103
[3] Borrego, J. T., H. Cohen, and E. E. DeVun, ”Uniquely Representable Semigroups II”,Pac. J. of Math., to appear. · Zbl 0199.33801
[4] Brown, D. R. and M. Friedberg, ”Linear Representations of Certain Compact Semigroups,” to appear. · Zbl 0232.22011
[5] Hildebrant, J. S., ”On uniquely divisible semigroups on the two-cell”,Pac. J. Math., 23 (1967), 91–95. · Zbl 0157.05101
[6] Hofmann, K. H. and P. S. Mostert, Elements of Compact Semigroups, C. E. Merrill Books, Columbus, Ohio (1966). · Zbl 0161.01901
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