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Ring theory front page
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[QUICK DESCRIPTION] This is a navigation page for articles related to ring theory. * [[Decompose your ring using idempotents]] [cut] Quick description || If $R$ is a ring and $e \in R$ is an idempotent, then one can form the ''Peirce decomposition'' of $R$ with respect to $e$, namely write $R = e R e \oplus e R (1-e) \oplus (1-e) R e \oplus (1-e) R (1-e).$[/cut] * [[How to work without an identity element when you clearly need it]] ** [[If you don't have an identity element, a set of local units is more than enough]]
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