I am looking for examples of indecomposable rings with nontrivial idempotents. The only examples I can think of are matrix rings. Are there other examples?
Indecomposable rings with nontrivial idempotents
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ring-theory
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0http://planetmath.org/encyclopedia/Idempotent2.html – 2011-09-25
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0@FrankMurphy Would you mind to work out your comment? – 2012-07-12
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1Just that a non-trivial descomposition of a ring correspond to a set of non.trivial idempotents elements, so if you have a non-trivial idempotent you´ll have a descomposition of a your ring. – 2012-07-14
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2definition of indecomposable ring? – 2012-09-18