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Congruence relations of cone semigroups. (English) Zbl 0231.22002


MSC:

20A15 Applications of logic to group theory
52A07 Convex sets in topological vector spaces (aspects of convex geometry)

References:

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[2] —-,A new notion of semicharacters, Trans. Amer. Math. Soc.141 (1969), 387–401. · Zbl 0184.03704 · doi:10.1090/S0002-9947-1969-0242984-8
[3] Friedberg, M.,Homomorphisms of divisible semigroups, Math. Z. (1971) (to appear). · Zbl 0221.20084
[4] Cohen, H.,Some multiplications on the two-cell, Proceedings FSAS I, Gainesville (1969).
[5] Day, J. M.,Compact semigroups with square roots, to appear. · Zbl 0214.03703
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[7] Hildebrant, J. A.,On compact unithetic semigroups, Pac. J. Math.21 (1967), 265–273. · Zbl 0149.02603
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[9] –,On compact divisible abelian semigroups, Proc. Amer. Math. Soc.19 (1968), 405–410. · Zbl 0155.04202 · doi:10.1090/S0002-9939-1968-0222206-9
[10] Keimel, K.,Eine Exponential funktion für kompakte abelsche Halbgruppen, Math. Z.97 (1967), 7–25. · Zbl 0146.03203 · doi:10.1007/BF01111446
[11] –,Lokal kompakte Kegelhalbgruppen und deren Einbettung in topologische Vektorraume, Math. Z.99 (1967), 405–428. · Zbl 0163.02304 · doi:10.1007/BF01111020
[12] –,A cross section theorem for compact abelian semigroups, Semigroup Forum1 (1970), 254–259. · Zbl 0211.33803 · doi:10.1007/BF02573044
[13] Lawson, J. D.,Vietoris mappings and embeddings of topological semilattices, University of Tennessee Thesis (1967).
[14] Lawson, J. D., and B. Madison,On congruences and cones (to appear). · Zbl 0201.15501
[15] Redei, L.,The theory of finitely generated commutative semigroups, Pergamon Press, Oxford (1965). · Zbl 0133.27904
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