Distributivity of lattices of binary relations
Mathematica Bohemica, Tome 127 (2002) no. 3, pp. 449-452
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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 $L$.
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 $L$.
DOI :
10.21136/MB.2002.134068
Classification :
08A02, 08B10
Keywords: binary relation; relational lattice; distributivity
Keywords: binary relation; relational lattice; distributivity
Chajda, I. Distributivity of lattices of binary relations. Mathematica Bohemica, Tome 127 (2002) no. 3, pp. 449-452. doi: 10.21136/MB.2002.134068
@article{10_21136_MB_2002_134068,
author = {Chajda, I.},
title = {Distributivity of lattices of binary relations},
journal = {Mathematica Bohemica},
pages = {449--452},
year = {2002},
volume = {127},
number = {3},
doi = {10.21136/MB.2002.134068},
mrnumber = {1931328},
zbl = {1004.08001},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2002.134068/}
}
[1] Chajda I.: Distributivity and modularity of tolerance relations. Algebra Universalis 12 (1981), 247–255. | DOI | MR
[2] Chajda I.: A note on the triangular scheme. East-West J. Math. 3 (2001), 79–80. | MR | Zbl
[3] Jónsson B.: Algebras whose congruence lattices are distributive. Math. Scand. 21 (1967), 110–121. | DOI | MR
[4] Gumm H.-P.: Geometrical methods in congruence modular algebras. Memoirs of the Amer. Math. Soc. 286 (1983). | MR | Zbl
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