Dimension sequences for commutative rings
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- by Jimmy T. Arnold and Robert Gilmer PDF
- Bull. Amer. Math. Soc. 79 (1973), 407-409
References
- Jimmy T. Arnold, On the dimension theory of overrings of an integral domain, Trans. Amer. Math. Soc. 138 (1969), 313–326. MR 238824, DOI 10.1090/S0002-9947-1969-0238824-3
- Eduardo Bastida and Robert Gilmer, Overrings and divisorial ideals of rings of the form $D+M$, Michigan Math. J. 20 (1973), 79–95. MR 323782
- Robert Gilmer, Two constructions of Prüfer domains, J. Reine Angew. Math. 239(240) (1969), 153–162. MR 257056, DOI 10.1515/crll.1969.239-240.153
- Paul Jaffard, Théorie de la dimension dans les anneaux de polynomes, Mémor. Sci. Math., Fasc. 146, Gauthier-Villars, Paris, 1960 (French). MR 0117256
- A. Seidenberg, A note on the dimension theory of rings, Pacific J. Math. 3 (1953), 505–512. MR 54571, DOI 10.2140/pjm.1953.3.505
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 407-409
- MSC (1970): Primary 13C05, 13F20, 13J05; Secondary 13G05, 13G15, 13E05, 13E10
- DOI: https://doi.org/10.1090/S0002-9904-1973-13188-X
- MathSciNet review: 0313244