The snake lemma in an abelian category with enough projectives (Injectives) |
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Authors: | David B Surowski |
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Institution: | Department of Mathematics , Kansas State University , Manhattan, 66506-2602, KS E-mail: dbski@math.ksu.edu |
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Abstract: | The Snake Lemma, fundamental in producing long exact sequences in homology or cohomology theories based on an abelian category, is shown to have a proof formally identical to the familiar one involving abelian groups when the category either has enough projectives or enough injectives. |
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Keywords: | Cohen–Macaulay ring Gorenstein injective dimension Local cohomology module |
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