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Triangular matrix representation of differential polynomial rings

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Abstract

Let R be a ring and \(\delta \) is a derivation of R. In this paper, it is proved that, under suitable conditions, the differential polynomial ring \(R[x;\delta ]\) has the same triangulating dimension as R. Furthermore, for a piecewise prime ring, we determine a large class of the differential polynomial ring which have a generalized triangular matrix representation for which the diagonal rings are prime.

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Acknowledgements

This research was supported by the Iran National Science Foundation: INSF (No: 95004390). The authors would like to express their deep gratitude to the referee for a very careful reading of the article, and many valuable comments, which have greatly improved the presentation of the article.

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Authors and Affiliations

  1. Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P.O.Box:14115-134, Tehran, Iran

    Ahmad Moussavi & Kamal Paykan

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  1. Ahmad Moussavi
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  2. Kamal Paykan
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Correspondence to Ahmad Moussavi.

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Moussavi, A., Paykan, K. Triangular matrix representation of differential polynomial rings. Bol. Soc. Mat. Mex. 25, 87–96 (2019). https://doi.org/10.1007/s40590-017-0181-7

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  • DOI: https://doi.org/10.1007/s40590-017-0181-7

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