UBC Theses and Dissertations
Density theorems and applications Horvath, Jozsef
One way of getting structure theorems in ring theory is to fix a general class ∑ of modules, and to prove Schur's Lemma and the Density Theorem for ∑. For example, the Goldie Theorem for prime rings follows from Schur's Lemma and the Density Theorem for the class of rationally uniform, homogeneous modules in a similar way as the Wedderburn-Artin Theorem follows from Schur's Lemma and the Density Theorem for the class of irreducible modules.
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