Almost Split Morphisms, Preprojective Algebras and Multiplication Maps of Maximal Rank

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dc.creatorDiaz, Steven P.
dc.creatorKleiner, Mark
dc.date2005-12-30
dc.date.accessioned2026-07-07T06:55:55Z
dc.date.available2026-07-07T06:55:55Z
dc.descriptionWith a grading previously introduced by the second-named author, the multiplication maps in the preprojective algebra satisfy a maximal rank property that is similar to the maximal rank property proven by Hochster and Laksov for the multiplication maps in the commutative polynomial ring. The result follows from a more general theorem about the maximal rank property of a minimal almost split morphism, which also yields a quadratic inequality for the dimensions of indecomposable modules involved.
dc.identifierhttps://arxiv.org/abs/math/0512661
dc.identifierhttp://arxiv.org/abs/math/0512661
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106441
dc.subjectRepresentation Theory
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D02; 16G30; 16G70 (Primary)
dc.titleAlmost Split Morphisms, Preprojective Algebras and Multiplication Maps of Maximal Rank
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