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Finite-dimensional representations of inverse compact semigroups. (English. Russian original) Zbl 0217.08503

Sib. Math. J. 11, 510-516 (1970); translation from Sib. Mat. Zh. 11, 668-676 (1970).

MSC:

22A20 Analysis on topological semigroups
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References:

[1] A. Weil, Integration in Topological Groups and Its Applications [Russian translation], IL, Moscow (1950).
[2] P. D. Kruming, ?Lattice-ordered semigroups,? Izv. Byssh. Uch. Zav., Matematika, No. 6, 78-87 (1964).
[3] P. D. Kruming, ?Quotient semigroups of topological semigroups,? Uch. Zap. Leningrad Gos. Ped. Inst.,238, 95-101 (1962).
[4] E. S. Ljapin, Semigroups [in Russian], Fizmatgiz, Moscow (1960).
[5] I. S. Ponizovskii, ?Inverse semigroups with a finite number of idempotents,? Dokl. Akad. Nauk SSSR,143, No. 6, 1282-1285 (1962).
[6] L. S. Pontrjagin, Topological Groups [Russian translation], Gostekhizdat, Moscow (1954).
[7] K. H. Hofmann and P. S. Mostert, Elements of Compact Semigroups, Merrill (1966). · Zbl 0161.01901
[8] L. B. Shneperman, ?On a universal compact topological semigroup,? Usp. Matem. Nauk,20, No. 6, 184-187 (1965).
[9] L. B. Shnerperman, ?Finite-dimensional representations of some compact topological semigroups,? Dokl. Akad. Nauk SSSR,176, No. 3, 538-540 (1967).
[10] A. E. Liber, ?On the theory of generalized groups,? Dokl. Akad. Nauk SSSR,97, No. 1, 25-28 (1954).
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