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Preprints Archive: Abstract of IC2010089 (2010)
Lifting prime ideals and Krull dimension
Document info: Pages 11, Figures 0.
Let $R$, $T$ be two commutative rings and $\varphi:R\longrightarrow T$ be a ring homomorphism. In this paper we are concerned with the study of the lifting of chains of prime ideals from $R$ to $T$. More precisely, we seek a necessary and sufficient condition for a such chain of prime ideals of $R$ to lift to a chain of prime ideals of $T$.