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Some remarks on tensor products and flatness of semimodules

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Abstract

Using a restrictive notion of exactness and the natural tensor product, we generalize several results related to flat modules over rings to flat semimodules over semirings.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia

    Jawad Y. Abuhlail

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  1. Jawad Y. Abuhlail
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Correspondence to Jawad Y. Abuhlail.

Additional information

Communicated by László Márki.

The author would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No. FT100004.

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Abuhlail, J.Y. Some remarks on tensor products and flatness of semimodules. Semigroup Forum 88, 732–738 (2014). https://doi.org/10.1007/s00233-014-9566-3

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  • DOI: https://doi.org/10.1007/s00233-014-9566-3

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