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Shum, Kar-Ping

Group ideals in a semigroup of measures. (English) Zbl 0472.28005

Semigroup Forum 22, 325-329 (1981).
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MSC:

28A33 Spaces of measures, convergence of measures
43A05 Measures on groups and semigroups, etc.
28C10 Set functions and measures on topological groups or semigroups, Haar measures, invariant measures
20M12 Ideal theory for semigroups

Keywords:

affine semigroup; convex sets; compact semigroup; group ideal; principal ideal; semigroup of probability measures
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\textit{K.-P. Shum}, Semigroup Forum 22, 325--329 (1981; Zbl 0472.28005)
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References:

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[2] –, Prime ideals in a semigroup of measures, Colloquium Math. 35 (1975), 109–111. · Zbl 0328.22005
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[12] Collins, H. S., Remarks on affine semigroups, Pacific Journal of Mathematics 12 (1962), 449–455. · Zbl 0196.29601
[13] Glicksberg, I., Convolution semigroups of measures, Pacific Journal of Mathematics 9 (1959), 51–67. · Zbl 0088.02903
[14] Mukherjea, A. and N. A. Tserpes, Measures on Topological Semigroups, Lecture Notes in Mathematics 547 (1976), Springer-Verlag, New York. · Zbl 0342.43001
[15] Numakura, K., Prime ideals and idempotents in compact semigroups, Duke Math. J. 24 (1957), 671–679. · Zbl 0218.22004
[16] Paalman-de Miranda, Topological Semigroups, Mathematisch Centrum, Amsterdam, 2nd edition (1970).
[17] Pym, J., Idempotent probability measures on compact semitopological semigroups, Proc. Amer. Math. Soc. 21 (1969), 499–501. · Zbl 0176.29602
[18] Shum, K.-P., On the boundary of algebraic radicals in topological semigroups, Acta Math. Acad. Sci. Hung. 25 (1974), 15–19. · Zbl 0276.22008
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