Simple module: Difference between revisions

Revision as of 20:06, 30 June 2011

Revision as of 20:07, 30 June 2011

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In particular, any [[primitive ring]] may be viewed as (that is, isomorphic to) a ring of ''D''-linear operators on some ''D''-space.

A consequence of the Jacobson density theorem is Wedderburn's theorem; namely that any right [[artinian ring|artinian]] [[simple ring]] is isomorphic to thea full matrix ring of ''n'' by ''n'' matrices over a [[division ring]] for some ''n''. This can also be established as a corollary of the [[Artin–Wedderburn theorem]].

==See also==