设 
和 
为格，并设 
。则映射 
是一个 join-同态，当且仅当对于任何 
，
。 也称 “
保连接运算。”
Join-同态
另请参阅
Join-嵌入, Join-自同态, Join-同构, Meet-同态此条目由 Matt Insall 贡献 (作者链接)
在 Wolfram|Alpha 中探索
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.在 Wolfram|Alpha 上被引用
Join-同态请引用为
Insall, Matt. "Join-Homomorphism." 来自 MathWorld--Wolfram Web 资源，由 Eric W. Weisstein 创建。 https://mathworld.net.cn/Join-Homomorphism.html