Morphisms represented by monomorphisms

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dc.creatorKato, Kiriko
dc.date2004-04-13
dc.date.accessioned2026-07-07T05:07:24Z
dc.date.available2026-07-07T05:07:24Z
dc.descriptionEvery homomorphism of modules is projective-stably equivalent to an epimorphism but is not always to a monomorphism. We prove that a map is projective-stably equivalent to a monomorphism if and only if its kernel is torsionless, that is, a first syzygy. If it occurs although, there can be various monomorphisms that are projective-stably equivalent to a given map. But in this case there uniquely exists a "perfect" monomorphism to which a given map is projective-stably equivalent.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0404243
dc.identifierhttp://arxiv.org/abs/math/0404243
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70847
dc.subjectCommutative Algebra
dc.subjectCategory Theory
dc.subject13D02,13D25,16D90
dc.titleMorphisms represented by monomorphisms
dc.typetext

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