Wijayanti, I. E.; Marubayashi, H.; Ernanto, I.; Ueda, A. Strongly graded rings which are Krull rings. (English) Zbl 1406.16038 Int. Electron. J. Algebra 25, 120-128 (2019). Summary: Let \(R = \oplus_{n \in \mathbb{Z}}R_n\) be a strongly graded ring of type \(\mathbb{Z}\) and \(R_0\) is a prime Goldie ring. It is shown that the following three conditions are equivalent: (i) \(R_0\) is a \(\mathbb{Z}\)-invariant Krull ring, (ii) \(R\) is a Krull ring and (iii)\(R\) is a graded Krull ring. We completely describe all \(v\)-invertible \(R\)-ideals in \(Q\), where \(Q\) is a quotient ring of \(R\). Cited in 1 Document MSC: 16U20 Ore rings, multiplicative sets, Ore localization Keywords:strongly graded ring; prime Goldie ring; Krull ring; v-invertible R-ideal PDFBibTeX XMLCite \textit{I. E. Wijayanti} et al., Int. Electron. J. Algebra 25, 120--128 (2019; Zbl 1406.16038) Full Text: Link References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.