Projective resolution: Difference between revisions
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===Symbol-free definition=== | ===Symbol-free definition=== | ||
A '''projective resolution''' of a | A '''projective resolution''' of a module is an [[exact sequence of modules]] (possibly infinite in length) terminating at the given module, and such that all preceding members of the exact sequence are [[projective module]]s. | ||
==Related notions== | ==Related notions== | ||
Revision as of 03:09, 21 August 2007
Definition
Symbol-free definition
A projective resolution of a module is an exact sequence of modules (possibly infinite in length) terminating at the given module, and such that all preceding members of the exact sequence are projective modules.