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Bandelt, Hans-J.

Regularity and complete distributivity. (English) Zbl 0429.20056

Semigroup Forum 19, 123-126 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0429.20056

Cited in 14 Documents

MSC:

20M20 Semigroups of transformations, relations, partitions, etc.
20M10 General structure theory for semigroups

Keywords:

regular element; semigroup of binary relations
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Full Text: DOI EuDML

References:

[1] Markowsky, G.,Idempotents and product representations with applications to the semigroup of binary relations, Semigroup Forum 5 (1972), 95–119. · Zbl 0264.20047 · doi:10.1007/BF02572880
[2] Raney, G.N.,A subdirect-union representation for completely distributive complete lattices, Proc. Amer. Math. Soc. 4 (1953), 518–522. · Zbl 0053.35201 · doi:10.1090/S0002-9939-1953-0058568-4
[3] Raney, G. N.,Tight Galois connections and complete distributivity, Trans. Amer. Math. Soc. 97 (1960), 418–426. · Zbl 0098.02703 · doi:10.1090/S0002-9947-1960-0120171-3
[4] Schein, B. M.,Regular elements of the semigroup of all binary relations, Semigroup Forum 13 (1976), 95–102. · Zbl 0355.20058 · doi:10.1007/BF02194925
[5] Yang, J.-C.,A theorem on the semigroup of binary relations, Proc. Amer. Math. Soc. 22 (1969), 134–135. · Zbl 0206.01403 · doi:10.1090/S0002-9939-1969-0241557-6
[6] Zareckil, K. A.,The semigroup of binary relations, Mat. Sbornik 61 (1963), 291–305 (Russian).
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