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About directed unions of Artinian subrings of a Von Neumann regular ring

Part of: Ring extensions and related topics General commutative ring theory Chain conditions, finiteness conditions

Published online by Cambridge University Press:  09 April 2009

Driss Karim
Driss Karim
Affiliation:
Department of Mathematics, Faculty of Sciences Semlalia, P.O Box 2390, Marrakech, Morocco, e-mail: ikarim@ucam.ac.ma
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Abstract

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This work is concerned with the question of when a von Neumann regular ring is expressible as a directed union of Artinian subrings.

Keywords

Von Neumann regular ringresidue fieldszero-dimensional ringsemi-quasilocal ringdirected union of Artinian subrings.

MSC classification

Secondary: 13A99: None of the above, but in this section 13A15: Ideals; multiplicative ideal theory 13B02: Extension theory 13E05: Noetherian rings and modules
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 79 , Issue 3 , December 2005 , pp. 297 - 304
Copyright
Copyright © Australian Mathematical Society 2005

References

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