Morphisms represented by monomorphisms (Q856348)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Morphisms represented by monomorphisms |
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Morphisms represented by monomorphisms (English)
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7 December 2006
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The author proves that a map is projective-stably equivalent to a monomorphism if and only if its kernel is torsionless, that is, a first syzygy. Consequently, the author answers a question posed by \textit{M. Auslander} and \textit{M. Bridger} [Stable module theory, Mem. Am. Math. Soc. 94 (1969; Zbl 0204.36402)].
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monomorphism
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projective-stably equivalent
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