A formula for ideal lattices of general commutative rings

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dc.creatorAoki, Takashi
dc.creatorIzumi, Shuzo
dc.creatorOhno, Yasuo
dc.creatorOzaki, Manabu
dc.date2006-01-16
dc.date2006-04-06
dc.date.accessioned2026-07-07T06:58:57Z
dc.date.available2026-07-07T06:58:57Z
dc.descriptionLet S be a set of n ideals of a commutative ring A. Let G_{even} (respectively G_{odd}) denote the product of all the sums of even (respectively odd) number of ideals of S. If n<7 the product of G_{even} and the intersection of all ideals of S is included in G_{odd}. In the case A is an Noetherian integral domain, this inclusion is replaced by equality if and only if A is a Dedekind domain.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0601377
dc.identifierhttp://arxiv.org/abs/math/0601377
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107567
dc.subjectCommutative Algebra
dc.subject13Cxx
dc.titleA formula for ideal lattices of general commutative rings
dc.typetext

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