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On ring extensions of FSG rings

Published online by Cambridge University Press:  17 April 2009

Le Van Thuyet
Le Van Thuyet
Affiliation:
Department of MathematicsHue University of Education32 Le Loi St Hue, Vietnam
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A ring R is called right FSG if every finitely generated right R-subgenerator is a generator. In this note we consider the question of when a ring extension of a given right FSG ring is right FSG and the converse. As a consequence we obtain some results about right FSG group rings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 3 , June 1994 , pp. 365 - 371
Copyright
Copyright © Australian Mathematical Society 1994

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