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Baer rings of generalized power series

Published online by Cambridge University Press:  26 February 2003

Liu Zhongkui
Liu Zhongkui
Affiliation:
Department of Mathematics, Northwest Normal University, Lanzhou, 730070, P. R. China e-mail: liuzk@nwnu.edu.cn
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We show that if R is a commutative ring and (S, \leq ) a strictly totally ordered monoid, then the ring [[R^{S, \leq }]] of generalized power series is Baer if and only if R is Baer.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 3 , September 2002 , pp. 463 - 469
Copyright
2002 Glasgow Mathematical Journal Trust

Footnotes

Research supported by the NSF of China (10171082) and by the Foundation for University Key Teachers of the Ministry of Education.