Finitely presented modules over semihereditary rings

dc.creatorCouchot, Francois
dc.date2004-09-28
dc.date2007-10-03
dc.date.accessioned2026-07-07T08:33:37Z
dc.date.available2026-07-07T08:33:37Z
dc.descriptionOne proves that each almost local-global semihereditary ring has the stacked basis property and is almost Bezout. If M is a finitely presented module, its torsion part tM is a direct sum of cyclic modules where the family of annhilators is an ascending chain of invertible ideals. These ideals are invariants of M. Moreover, M/tM is a direct sum of 2-generated ideals whose product is an invariant of M. The idempotents and the positive integers defined by the rank of M/tM are invariants of M too.
dc.identifierhttps://arxiv.org/abs/math/0409550
dc.identifierhttp://arxiv.org/abs/math/0409550
dc.identifierCommunications in Algebra 35, 1 (2007) 2685--2692
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139196
dc.subjectRings and Algebras
dc.subject13E15, 13F05
dc.titleFinitely presented modules over semihereditary rings
dc.typetext

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