分划格的嵌入余积
Embedding coproducts of partition lattices
摘要：
证明了无限集X上所有等价关系的格Eq（X）作为0，1-子格包含其两个副本的0-余积，从而回答了G.M.伯格曼因此，通过使用由de Bruijn发起并由Bergman进一步发展的方法，我们得到Eq（X）也包含作为子格的自身的2^{card（X）}个副本的余积。
英文摘要：
We prove that the lattice Eq(X) of all equivalence relations on an infinite set X contains, as a 0,1-sublattice, the 0-coproduct of two copies of itself, thus answering a question by G.M. Bergman. Hence, by using methods initiated by de Bruijn and further developed by Bergman, we obtain that Eq(X) also contains, as a sublattice, the coproduct of 2^{card(X)} copies of itself.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
