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Join-同態


L=(L, ^ , v )K=(K, ^ , v ) 為格,並設 h:L->K。則對映 h 是一個 join-同態,當且僅當對於任何 x,y in Lh(x v y)=h(x) v h(y)。 也稱 “h 保連線運算。”


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Join-嵌入, Join-自同態, Join-同構, Meet-同態

此條目由 Matt Insall 貢獻 (作者連結)

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參考文獻

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.

在 上被引用

Join-同態

請引用為

Insall, Matt. "Join-Homomorphism." 來自 Web 資源,由 Eric W. Weisstein 建立。 https://mathworld.tw/Join-Homomorphism.html

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