## Rings with Chain Conditions on Small Right Ideals

- Falih A. M. Aldosray, Sabah A. A. Bashammakh
- 2006

We determine conditions under which a generalized triangular matrix ring has finite reduced rank, in the general torsiontheoretic sense. These are applied to characterize certain orders in Artinian rings, and to show that if each homomorphic image of a ring S has finite reduced rank, then so does the ring of lower triangular matrices over S. The notion of… (More)

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