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Communications in Algebra Volume 29, 2001 - Issue 11
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Original Articles

A NOTE ON ADDITIVE RANK FUNCTIONS

John A. Beachy Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois, 60115, U.S.A.
Pages 4919-4922 | Received 01 Jan 2000, Published online: 01 Feb 2007
 
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Abstract

Additive rank functions have been studied for Noetherian rings by Krause. It is shown that the notion of an additive rank function can be extended to more general classes of rings, and can be used in the characterization of semiprime Goldie rings and of orders in Artinian rings.

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