yearn

In this paper,we prove that a Noetherian domain R is a UMV-domain if and only if every prime v-ideal of R has height one and U-1≠R[X] for each U∈UTZ(R).

证明了若R是Noether整环,则R是UMV整环当且仅当对任意的U∈UTZ(R),有U-1≠R[X],且R中的每个素v-理想高度为1。