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Über den Untergruppenverband der symmetrischen Gruppe, den Unterhablgruppenverband der symmetrischen Halbgruppe und den Unteralgebrenverband der Postschen Algebra. (The lattice of subgroups of the symmetric group, the lattice of subsemigroups of the symmetric semigroup, and the lattice of subalgebras of the Post algebra). (German) Zbl 0225.08009

MSC:

08A30 Subalgebras, congruence relations
06B99 Lattices
20B30 Symmetric groups
20M99 Semigroups
03G20 Logical aspects of Łukasiewicz and Post algebras
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References:

[1] Bajramow, R. A., Über prädikative Charakterisierbarkeit der Unteralgebren der mehrwertigen Logik, Izv. Akad. nauk. Azerb. SSR, 1969, 100–104.
[2] Epstein, L. E., A function related to the series for \(e^{e^x } \) , IMP 18 (1939), 153–173. · Zbl 0021.41703
[3] Jablonskij, S. V., V. B. Kudrjavzew and G. P. Gavrilow, Funktionen der Algebra der Logik und POSTsche Klassen (in Russisch), Moskau, 1966.
[4] Janow, J. I. and A. A. Mutschnik, Über die Existenz der {\(\kappa\)}-wertigen abgeschlossenen Klassen, deren keine endliche Basen haben, Dokl. Akad. nauk SSSR (Moskau), 127 (1959), 44–46.
[5] Kurosch, A. G., Vorlesungen über universelle Algebra (in Russisch), Moskau, 1962.
[6] Malzew, A. I., Iterative Algebren und POSTsche Mannigfaltigkeiten, Algebra i Logika, Seminar (Novosibirsk, UdSSR), vol. 5, No. 2, (1966), 5–24.
[7] Post, E., Two-valued iterative systems, Princeton, 1941. · Zbl 0063.06326
[8] Riordan, J., An introduction to combinatorial analysis, New York-London, 1958. · Zbl 0078.00805
[9] Rosenbloom, P., Post algebras I. Postulates and general theory, Amer. J. of Math., 64 (1942), 167–188. · Zbl 0060.06701 · doi:10.2307/2371676
[10] Salomaa, A., Some completeness criteria for sets of functions over a finite domain, I, II, Ann. Univ. Turkuensis, Series A, 53(1962), 1–9; 63(1963), 1–19. · Zbl 0103.24502
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