Morphisms represented by monomorphisms
Morphisms represented by monomorphisms
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DOI：
10.1016/j.jpaa.2005.12.009
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发表时间：
2004-04
影响因子：
0.8
通讯作者：
Kiriko Kato
中科院分区：
文献类型：
--
作者：
Kiriko Kato
We answer a question posed by Auslander and Bridger. Every 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, 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.
