Lifting chains of prime ideals

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dc.creatorBrenner, Holger
dc.date2002-09-23
dc.date.accessioned2026-07-07T04:51:08Z
dc.date.available2026-07-07T04:51:08Z
dc.descriptionWe give an elementary proof that for a ring homomorphism A -> B, satisfying the property that every ideal in A is contracted from B, the following property holds: for every chain of prime ideals p_0 \subset ... \subset p_r in A there exists a chain of prime ideals q_0 \subset ... \subset q_r in B such that q_i \cap A = p_i.
dc.descriptionto appear in Journal of pure and applied algebra
dc.identifierhttps://arxiv.org/abs/math/0209296
dc.identifierhttp://arxiv.org/abs/math/0209296
dc.identifierJ. Pure Appl. Algebra 179 (2003), 1 - 5.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65038
dc.subjectCommutative Algebra
dc.subject13B24
dc.titleLifting chains of prime ideals
dc.typetext

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