Arnold, Jimmy T. Krull dimension in power series rings. (English) Zbl 0262.13007 Trans. Am. Math. Soc. 177, 299-304 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 12 ReviewsCited in 68 Documents MSC: 13J05 Power series rings 13C15 Dimension theory, depth, related commutative rings (catenary, etc.) PDFBibTeX XMLCite \textit{J. T. Arnold}, Trans. Am. Math. Soc. 177, 299--304 (1973; Zbl 0262.13007) Full Text: DOI References: [1] J. T. Arnold and J. W. Brewer, When (\?[[\?]])_{\?[[\?]]} is a valuation ring, Proc. Amer. Math. Soc. 37 (1973), 326 – 332. · Zbl 0252.13008 [2] David E. Fields, Zero divisors and nilpotent elements in power series rings, Proc. Amer. Math. Soc. 27 (1971), 427 – 433. · Zbl 0219.13023 [3] David E. Fields, Dimension theory in power series rings, Pacific J. Math. 35 (1970), 601 – 611. · Zbl 0192.38701 [4] Robert W. Gilmer, Multiplicative ideal theory, Queen’s Papers in Pure and Applied Mathematics, No. 12, Queen’s University, Kingston, Ont., 1968. · Zbl 0155.36402 [5] Jack Ohm and R. L. Pendleton, Rings with noetherian spectrum, Duke Math. J. 35 (1968), 631 – 639. · Zbl 0172.32201 [6] A. Seidenberg, A note on the dimension theory of rings, Pacific J. Math. 3 (1953), 505 – 512. · Zbl 0052.26902 [7] A. Seidenberg, On the dimension theory of rings. II, Pacific J. Math. 4 (1954), 603 – 614. · Zbl 0057.26802 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.