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On matrix methods in ring theory

Ivanov, George


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 rings...[Show more]

CollectionsOpen Access Theses
Date published: 1972-07
Type: Thesis (PhD)


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