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Semilattices of groups with distributive congruence lattice. (English) Zbl 0392.20041

MSC:
20M10 General structure theory for semigroups
06A12 Semilattices
06D99 Distributive lattices
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References:
[1] Birkhoff, G, Lattice Theory, Amer. Math. Soc. Colloquium Publications, Vol. 25, Providence, 1967, 3rd edition.
[2] Clifford, A.H, and G.B. Preston,The algebraic theory of semigroups, Vols. I and II, Math. Surveys No. 7 Amer. Math. Soc., Providence, R.J., 1961 and 1967. · Zbl 0111.03403
[3] Dean, R.A, and R.H. Oehmke,Idempotent semigroups with distributive right congruence lattices, Pacific J. Math. 14 (1964), 1187–1209. · Zbl 0128.25003
[4] Fuchs, L, Abelian groups, Pergamon, London, 1960.
[5] Grätzer, G, Universal algebra, Van Nostrand, Princeton, 1968.
[6] Hamilton, H.B,Semilattices whose structure lattice is distributive, Semigroup Forum 8 (1974), 245–253. · Zbl 0305.06002
[7] Meakin, J,One-sided congruences on inverse semigroups, Trans. Amer. Math. Soc. 206 (1975), 67–82. · Zbl 0307.20037
[8] Papert, D,Congruence relations in Semilattices, J. London Math. Soc. 39 (1964), 723–729. · Zbl 0126.03802
[9] Scott, W R, Group Theory, Prentice-Hall, Englewood Cliffs, 1964.
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