Socle degrees, Resolutions, and Frobenius powers

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dc.creatorKustin, Andrew R.
dc.creatorUlrich, Bernd
dc.date2008-12-29
dc.date.accessioned2026-07-07T12:23:05Z
dc.date.available2026-07-07T12:23:05Z
dc.descriptionWe first describe a situation in which every graded Betti number in the tail of the resolution of $\frac RJ$ may be read from the socle degrees of $\frac RJ$. Then we apply the above result to the ideals $J$ and $J^{[q]}$; and thereby describe a situation in which the graded Betti numbers in the tail of the resolution of $R/J^{[q]}$ are equal to the graded Betti numbers in the tail of a shift of the resolution of $R/J$.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0812.4966
dc.identifierhttp://arxiv.org/abs/0812.4966
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213869
dc.subjectCommutative Algebra
dc.subject13D02; 13A35
dc.titleSocle degrees, Resolutions, and Frobenius powers
dc.typetext

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