A Fitting Lemma for Z/2-graded modules

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dc.creatorEisenbud, David
dc.creatorWeyman, Jerzy
dc.date2002-02-22
dc.date.accessioned2026-07-07T04:46:37Z
dc.date.available2026-07-07T04:46:37Z
dc.descriptionWe study the annihilator of the cokernel of a map of free Z/2-graded modules over a Z/2-graded skew-commutative algebra in characteristic 0 and define analogues of its Fitting ideals. We show that in the ``generic'' case the annihilator is given by a Fitting ideal, and explain relations between the Fitting ideal and the annihilator that hold in general. Our results generalize the classical Fitting Lemma, and extend the key result of Green [1999]. They depend on the Berele-Regev theory of representations of general linear Lie super-algebras.
dc.description14 pages Plain TeX; uses diagrams.tex
dc.identifierhttps://arxiv.org/abs/math/0202227
dc.identifierhttp://arxiv.org/abs/math/0202227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63405
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16W55; 15A75; 17B55; 17B60; 14H51
dc.titleA Fitting Lemma for Z/2-graded modules
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