×

zbMATH — the first resource for mathematics

Krull dimension in power series rings. (English) Zbl 0262.13007

MSC:
13J05 Power series rings
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
PDF BibTeX XML Cite
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.