Krull-Schmidt categories and projective covers (Q900747)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Krull-Schmidt categories and projective covers |
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Krull-Schmidt categories and projective covers (English)
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22 December 2015
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A Krull-Schmidt category is an additive category such that each object decomposes (essentially uniquely) into a finite direct sum of indecomposable objects having local endomorphism rings. The present paper provides a self-contained introduction to Krull-Schmidt categories, which are explained in terms of projective covers. The author discusses additive categories and the radical, projective covers, Krull-Schmidt categories and chain conditions.
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Krull-Schmidt category
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projective cover
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semi-perfect ring
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bi-chain condition
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