1991
DOI: 10.1017/s0013091500007124
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Group rings which are v-HC orders and Krull orders

Abstract: Let R be a ring and G a polycyclic-by-finite group. In this paper, it is determined, in terms of properties of R and G, when the group ring R[G] is a prime Krull order and when it is a price v-HC order. The key ingredient in obtaining both characterizations is the first author's earlier study of height one prime ideals in the ring R[G[.

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Cited by 6 publications
(1 citation statement)
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“…Earlier results were obtained in [89,90,144,145]. There is an extensive list of publications on related results for group rings and some generalizations, such as skew group rings (see for example [15,22,23,110]). Also in the context of rings graded by abelian groups there is an extensive literature on arithmetical properties (see for example [3,4,5,102,116] 3.…”
Section: Comments and Problemsmentioning
confidence: 99%
“…Earlier results were obtained in [89,90,144,145]. There is an extensive list of publications on related results for group rings and some generalizations, such as skew group rings (see for example [15,22,23,110]). Also in the context of rings graded by abelian groups there is an extensive literature on arithmetical properties (see for example [3,4,5,102,116] 3.…”
Section: Comments and Problemsmentioning
confidence: 99%