A NOTE ON ADDITIVE RANK FUNCTIONS
| Autor: | John A. Beachy |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Noetherian
Discrete mathematics Pure mathematics Algebra and Number Theory Noncommutative ring Mathematics::Commutative Algebra Rank (linear algebra) Mathematics::Rings and Algebras Semiprime Semiprime ring Artinian ring Semisimple module Von Neumann regular ring Computer Science::Databases Mathematics |
| Zdroj: | Communications in Algebra. 29:4919-4922 |
| ISSN: | 1532-4125 0092-7872 |
| DOI: | 10.1081/agb-100106793 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|