On matrix methods in ring theory
A method for representing rings as matrix rings is used to
investigate the structures of several well-known classes of rings.
The general method is developed in Chapter 1.
In Chapter 2 nonsingular rings with essential socles are
characterized by embeddings into products of full matrix rings over
sfields. This generalizes the known results in the case when the
rings’ identities are finite (sums of orthogonal idempotents).
The results are used in Chapter 3 to study nonsingular QF-3
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