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Article

Chajda, I.
Distributivity of lattices of binary relations. (English). Mathematica Bohemica, vol. 127 (2002), issue 3, pp. 449-452
MSC: 08A02, 08B10 | MR 1931328 | Zbl 1004.08001 | DOI: 10.21136/MB.2002.134068
Keywords:
binary relation; relational lattice; distributivity
Summary:
We present a formal scheme which whenever satisfied by relations of a given relational lattice $L$ containing only reflexive and transitive relations ensures distributivity of $L$.
References:
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[2] Chajda I.: A note on the triangular scheme. East-West J. Math. 3 (2001), 79–80. MR 1866645 | Zbl 1007.08002
[3] Jónsson B.: Algebras whose congruence lattices are distributive. Math. Scand. 21 (1967), 110–121. DOI 10.7146/math.scand.a-10850 | MR 0237402
[4] Gumm H.-P.: Geometrical methods in congruence modular algebras. Memoirs of the Amer. Math. Soc. 286 (1983). MR 0714648 | Zbl 0547.08006
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