Krull Rings, Prüfer ${\bf v}$-Multiplication Rings and the Ring of Finite Fractions
Krull Rings, Prüfer ${\bf v}$-Multiplication Rings and the Ring of Finite Fractions
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DOI：
10.1216/rmjm/1181069687
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发表时间：
2005-08
影响因子：
0.8
通讯作者：
T. G. Lucas
中科院分区：
文献类型：
--
作者：
T. G. Lucas
本文讨论将 Krull 域和 PvMD 的概念扩展到具有零因子的环。要解决的两个问题涉及表征 Nagata 环 R(x) 何时为 Krull 环以及何时为 PvMR。对于这两个问题，表征都需要考虑所讨论的环如何位于其相关的有限分数环中。
This paper deals with extending the notions of Krull domains and PvMDs to rings with zero divisors. Two of the problems to be addressed involve characterizing when the Nagata ring R(x) will be a Krull ring and when it will be a PvMR. For both problems, the characterizations require consideration of how the ring in question sits in its associated ring of finite fractions.