摘要
设Ｒ是有１的结合环，Ｉ是任意偏序集，ＲＩ是Ｒ上Ｉ的偏序集环．本文考虑了带对偶的偏序集环，得到：ＲＩ带Ｍｏｒｉｔａ对偶当且仅当Ｒ带Ｍｏｒｉｔａ对偶．
Let R be an associate ring with identity, I be a poset, RI be the poset ring of I over R . The following result is obtained: RI has Morita duality iff R has Morita duality. This extends the known result about the poset ring in the case I that is finite.
