Projective dimensions and almost split sequences. (Q1421821)
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scientific article; zbMATH DE number 2037106
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projective dimensions and almost split sequences. |
scientific article; zbMATH DE number 2037106 |
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Projective dimensions and almost split sequences. (English)
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3 February 2004
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In the theory of homological dimension it is a classical question to compare dimensions of terms appearing in certain exact sequences. The main result of the paper, Theorem 4.1, lists equivalent conditions implying that the projective dimension of the middle term in an almost split exact sequence is strictly smaller than the maximum of the ones of the other two. Examples are given to show that these conditions are logically independent.
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almost split sequences
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homological dimensions
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short exact sequences
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finitely generated modules
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Artin algebras
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finitistic dimension
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0.89756864
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0.88279355
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0.8823358
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0.88231426
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