Semi-simple ring
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
A ring $A$ with zero radical. More precisely, if $\mathcal{R}$ is some radical (see Radical of rings and algebras), then the ring $A$ is called $\mathcal{R}$-semi-simple if $\mathcal{R}(A) = 0$. 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=33973
Semi-simple ring. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-simple_ring&oldid=33973
This article was adapted from an original article by L.A. Skornyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article