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On t–Dimension over Strong Mori Domains

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Abstract

In this note we prove that if R is a strong Mori domain with t–dim R = n and with countably many prime v–ideals, then there is a chain of rings between R and R w

$$ R_{1} = R \subset R_{2} \subset \cdots \subset R_{n} \subseteq R^{w} $$

such that each R i is also a strong Mori domain and t–dim Rk = n − k + 1 for k = 1, 2, . . . , n.

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Authors and Affiliations

  1. Institute of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, P. R. China

    Fang Gui Wang

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  1. Fang Gui Wang
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Correspondence to Fang Gui Wang.

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Supported by the National Natural Science Foundation of China (10271502) and by SZD0406

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Wang, F.G. On t–Dimension over Strong Mori Domains. Acta Math Sinica 22, 131–138 (2006). https://doi.org/10.1007/s10114-005-0539-z

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  • DOI: https://doi.org/10.1007/s10114-005-0539-z

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