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The snake lemma in an abelian category with enough projectives (Injectives)
Authors:David B Surowski
Institution:Department of Mathematics , Kansas State University , Manhattan, 66506-2602, KS E-mail: dbski@math.ksu.edu
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.
Keywords:Cohen–Macaulay ring  Gorenstein injective dimension  Local cohomology module
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