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格容差

设 L=(L, ^ , v ) 为格，并设 tau subset= L^2。那么 tau 是容差当且仅当它是 L^2 的自反和对称子格。

格的容差及其相关的极性在有限代数结构的研究中起着重要作用。

此条目由 Matt Insall (作者链接) 贡献

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参考文献

Bandelt, H. H. "Tolerance Relations on Lattices." Bull. Austral. Math. Soc. 23, 367-381, 1981.Birkhoff, G. Lattice Theory, 3rd ed. Providence, RI: Amer. Math. Soc., 1967.Chajda, I. and Zelinka, B. "Tolerances and Convexity." Czech. Math. J. 29, 584-587, 1979.Chajda, I. and Zelinka, B. "A Characterization of Tolerance-Distributive Tree Semilattices." Czech. Math. J. 37, 175-180, 1987.Grätzer, G. General Lattice Theory, 2nd ed. Boston, MA: Birkhäuser, 1998.Hobby, D. and McKenzie, R. The Structure of Finite Algebras. Providence, RI: Amer. Math. Soc., 1988.Insall, M. "Some Finiteness Conditions in Lattices Using Nonstandard Proof Methods." J. Austral. Math. Soc. 53, 266-280, 1992.Schweigert, D. "Central Relations on Lattices." J. Austral. Math. Soc. 37, 213-219, 1988.Schweigert, D. and Szymanska, M. "On Central Relations of Complete Lattices." Czech. Math. J. 37, 70-74, 1987.

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格容差

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Insall, Matt. "格容差。" 来自 MathWorld--Wolfram Web 资源，由 Eric W. Weisstein 创建。 https://mathworld.net.cn/LatticeTolerance.html

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