A computation of tight closure in diagonal hypersurfaces

Simple item page
dc.creatorSingh, Anurag K.
dc.date2002-09-18
dc.date.accessioned2026-07-07T04:51:01Z
dc.date.available2026-07-07T04:51:01Z
dc.descriptionIn the ring R=K[X,Y,Z]/(X^3+Y^3+Z^3), where K is a field of prime characteristic p other than 3, determining the tight closure of the ideal (X^2, Y^2, Z^2)R had existed as a classic example of the difficulty involved in tight closure computations. We settle this question, compute the Frobenius closure of this ideal, and generalize these results to the diagonal hypersurfaces K[X_1,...,X_n]/(X_1^n + ... + X_n^n).
dc.identifierhttps://arxiv.org/abs/math/0209239
dc.identifierhttp://arxiv.org/abs/math/0209239
dc.identifierJournal of Algebra {\bf 203} (1998) 579--589
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64997
dc.subjectCommutative Algebra
dc.subject13A35
dc.titleA computation of tight closure in diagonal hypersurfaces
dc.typetext

Files

Collections

arXiv