Rees matrix rings

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Some Constructions Related to Rees Matrix Rings

Simple rings with a one-sided minimal ideal may be represented as Rees matrix rings, and conversely. The latter are defined as I ×Λ matrices over a division ring with only a finite number of nonzero entries with certain addition and multiplication. For Rees matrix rings we construct here their isomorphisms, their translational hulls and isomorphisms of the translational hulls, all this in terms...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1983

ISSN: 0021-8693

DOI: 10.1016/0021-8693(83)90193-x