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On some flatness properties over commutative rings

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Abstract

We study the class of rings in which every P-flat module is flat. In domains this property characterizes Prüfer domains. We investigate the preservation of this property under localization, homomorphic image, direct product, amalgamation, and trivial ring extension. Our results yield examples which enrich the current literature with new and original families of rings that satisfy this property.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Technology of Fez, University S.M. Ben Abdellah Fez, Box 2202, Fez, Morocco

    F. Cheniour & N. Mahdou

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  1. F. Cheniour
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  2. N. Mahdou
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Correspondence to N. Mahdou.

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Cheniour, F., Mahdou, N. On some flatness properties over commutative rings. Acta Math. Hungar. 146, 142–152 (2015). https://doi.org/10.1007/s10474-015-0495-8

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  • DOI: https://doi.org/10.1007/s10474-015-0495-8

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