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Quasi-socle ideals in Buchsbaum rings
Published online by Cambridge University Press: 11 January 2016
Abstract
Quasi-socle ideals, that is, ideals of the form I = Q: mq (q ≥ 2), with Q parameter ideals in a Buchsbaum local ring (A,m), are explored in connection to the question of when I is integral over Q and when the associated graded ring G(I) ⊕ n≥0In/In+1 of I is Buchsbaum. The assertions obtained by Wang in the Cohen-Macaulay case hold true after necessary modifications of the conditions on parameter ideals Q and integers q. Examples are explored.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2010
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