Dobbs, David E. Lying-over pairs of commutative rings. (English) Zbl 0466.13002 Can. J. Math. 33, 454-475 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 30 Documents MSC: 13B02 Extension theory of commutative rings 13F20 Polynomial rings and ideals; rings of integer-valued polynomials 13C15 Dimension theory, depth, related commutative rings (catenary, etc.) 13A15 Ideals and multiplicative ideal theory in commutative rings Keywords:survival pair; going-up; transcendence degree; polynomial ring; lying- over pair; integral extension; Krull dimension O Citations:Zbl 0432.13007 PDFBibTeX XMLCite \textit{D. E. Dobbs}, Can. J. Math. 33, 454--475 (1981; Zbl 0466.13002) Full Text: DOI