Invariant factors of an endomorphism and finite free resolutions (Q1260969)
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scientific article; zbMATH DE number 399299
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant factors of an endomorphism and finite free resolutions |
scientific article; zbMATH DE number 399299 |
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Invariant factors of an endomorphism and finite free resolutions (English)
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29 August 1993
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The notions of characteristic polynomial, invariant factors, and the rational normal form of an endomorphism \(u\) of a vector space (i.e. a matrix) and the Cayley-Hamilton theorem are generalized to the case that \(u\) is an endomorphism of an \(R\)-module that has a finite free resolution \((R\) is a commutative ring).
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endomorphism
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finite free resolution
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