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PF-rings of generalised power series

Published online by Cambridge University Press:  17 April 2009

Zhongkui Liu
Zhongkui Liu
Affiliation:
Department of MathematicsNorthwest Normal University, Lanzhou 730070People's Republic of China
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Abstract

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Let R be a commutative ring and (S, ≤) a strictly ordered monoid which satisfies the condition that 0 ≤ s for every s ∈ S. We show that the generalised power series ring [[RS ≤]] is a PF-ring if and only if R is a PF-ring.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 3 , June 1998 , pp. 427 - 432
Copyright
Copyright © Australian Mathematical Society 1998

References

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