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Direct limits and going-down. (English) Zbl 0501.13001


MSC:

13B02 Extension theory of commutative rings
13D99 Homological methods in commutative ring theory
13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
13G05 Integral domains
13A15 Ideals and multiplicative ideal theory in commutative rings