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Minimal compatible tolerances on lattices. (English) Zbl 0379.06002

MSC:
06B05 Structure theory of lattices
06D05 Structure and representation theory of distributive lattices
03E20 Other classical set theory (including functions, relations, and set algebra)
08A05 Structure theory of algebraic structures
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References:
[1] G. Grätzer, E. T. Schmidt: Ideals and congruence relations in lattices. Acta Math. Acad. Sci. Hung. 9 (1958), 137-175. · Zbl 0085.02002
[2] B. Zelinka: Tolerance graphs. Comment. Math. Univ. Carol. 9 (1968), 121 - 131. · Zbl 0155.51206
[3] B. Zelinka: Tolerance in algebraic structures. Czech. Math. J. 20 (1970), 179-183. · Zbl 0197.01002
[4] B. Zelinka: Tolerance in algebraic structures II. Czech. Math. J. 25 (1975), 175 - 178. · Zbl 0316.08001
[5] I. Chajda, B. Zelinka: Tolerance relations on lattices. Čas. pěstov. mat. 99 (1974), 394-399. · Zbl 0297.06001
[6] I. Chajda, B. Zelinka: Lattices of tolerances. Čas. pěst. mat. 102 (1911), 10 - 24. · Zbl 0354.08011
[7] M. A. Arbib: Tolerance automata. Kybernetika 3 (1967), 223 - 233. · Zbl 0153.01201
[8] I. Chajda, B. Zelinka: Weakly associative lattices and tolerance relations. Czech. Math. J. 26 (1976), 259-269. · Zbl 0332.06002
[9] I. Chajda J. Niederle, B. Zelinka: On existence conditions for compatible tolerances. Czech. Math. J. 26 (1976), 304-311. · Zbl 0333.08006
[10] G. Szász: Introduction to lattice theory. Akadémiai Kiadó Budapest 1963.
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