Semi-simple ring
From Encyclopedia of Mathematics
Revision as of 19:40, 19 October 2014 by Richard Pinch (talk | contribs) (Category:Associative rings and algebras)
A ring $R$ with zero radical. More precisely, if $\mathcal{R}$ is some radical (see Radical of rings and algebras), then the ring $R$ is called $\mathcal{R}$-semi-simple if $\mathcal{R}(R) = 0$. Frequently, by an associative semi-simple ring one understands a classical semi-simple ring.
How to Cite This Entry:
Semi-simple ring. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-simple_ring&oldid=33972
Semi-simple ring. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-simple_ring&oldid=33972
This article was adapted from an original article by L.A. Skornyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article