https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Injective_resolution 2026-07-30T15:42:34Z Revision history for this page on the wiki MediaWiki 1.41.2 https://commalg.subwiki.org/w/index.php?title=Injective_resolution&diff=1735&oldid=prev 2009-01-03T18:25:56Z

<p>New page: ==Definition== ===Symbol-free definition=== An &#039;&#039;&#039;injective resolution&#039;&#039;&#039; of a <a href="/wiki/Module" class="mw-redirect" title="Module">module</a> over a <a href="/wiki/Commutative_unital_ring" title="Commutative unital ring">commutative unital ring</a> is an <a href="/w/index.php?title=Exact_sequence_of_modules&amp;action=edit&amp;redlink=1" class="new" title="Exact sequence of modules (page does not exist)">exact sequence of modules</a> (possibly infinite in len...</p> <p><b>New page</b></p><div>==Definition==<br /> <br /> ===Symbol-free definition===<br /> <br /> An &#039;&#039;&#039;injective resolution&#039;&#039;&#039; of a [[module]] over a [[commutative unital ring]] is an [[exact sequence of modules]] (possibly infinite in length) beginning at 0, with the second member being the given module, and such that all successive members of the exact sequence are [[injective module]]s.<br /> <br /> ==Related notions==<br /> <br /> * [[Free resolution]]<br /> * [[Projective resolution]]</div>

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