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Über die Kongruenzverbände von Funktionenalgebren. (German) Zbl 0381.08004


MSC:

08A30 Subalgebras, congruence relations
08A60 Unary algebras
20M20 Semigroups of transformations, relations, partitions, etc.
06B10 Lattice ideals, congruence relations
Full Text: DOI

References:

[1] G. Berman andR. J. Silverman, Simplicity of near-rings of transformations. Proc. Amer. Math. Soc.10, 456-459 (1959). · Zbl 0092.26901 · doi:10.1090/S0002-9939-1959-0104714-9
[2] A. H.Clifford and G. B.Preston, The Algebraic Theory of Semigroups, Volume II. Providence 1967. · Zbl 0178.01203
[3] G. Karigl, Die Verb?nde mit nichteinfacher Funktionenalgebra. Monatsh. Math.84, 289-302 (1977). · Zbl 0377.08002 · doi:10.1007/BF01366498
[4] H. L?nger, Verallgemeinerung eines Satzes von N?bauer und Philipp. Arch. Math.27, 1-2 (1976). · Zbl 0359.20057 · doi:10.1007/BF01224633
[5] A.I. Mal’cev, Symmetrische Gruppoide. Mat. Sbornik73, 136-151 (1952) (russisch).
[6] W. N?bauer undW. Philipp, ?ber die Einfachheit von Funktionenalgebren. Monatsh. Math.66, 441-452 (1962). · Zbl 0111.02102 · doi:10.1007/BF01298241
[7] W. N?bauer undW. Philipp, Die Einfachheit der mehrdimensionalen Funktionenalgebren. Arch. Math15, 1-5 (1964). · Zbl 0128.02302 · doi:10.1007/BF01589160
[8] W. Philipp, ?ber die Einfachheit von Funktionenalgebren ?ber Verb?nden. Monatsh. Math.67, 259-268 (1963). · Zbl 0201.15302 · doi:10.1007/BF01294967
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