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Triangular Matrix Representations of Rings of Generalized Power Series

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Abstract

Let R be a ring and S a cancellative and torsion–free monoid and ≤ a strict order on S. If either (S, ≤) satis.es the condition that 0 ≤ s for all s ∈¸ S, or R is reduced, then the ring [[R S, ≤]] of the generalized power series with coefficients in R and exponents in S has the same triangulating dimension as R. Furthermore, if R is a PWP ring, then so is [[R S, ≤]].

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  1. Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China

    Zhong Kui Liu

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  1. Zhong Kui Liu
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Correspondence to Zhong Kui Liu.

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Supported by National Natural Science Foundation of China (10171082), the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China, and TRAPOYT

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Liu, Z.K. Triangular Matrix Representations of Rings of Generalized Power Series. Acta Math Sinica 22, 989–998 (2006). https://doi.org/10.1007/s10114-005-0555-z

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  • DOI: https://doi.org/10.1007/s10114-005-0555-z

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