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On ideals of triangular matrix rings

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Abstract

We provide a formula for the number of ideals of complete block-triangular matrix rings over any ring R such that the lattice of ideals of R is isomorphic to a finite product of finite chains, as well as for the number of ideals of (not necessarily complete) block-triangular matrix rings over any such ring R with three blocks on the diagonal.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of the Free State, PO Box 339, Bloemfontein, 9300, South Africa

    Johan Meyer

  2. Institute of Mathematics, University of Miskolc, Miskolc, H-3515, Hungary

    Jenő Szigeti

  3. Department of Mathematical Sciences, Stellenbosch University, P/Bag X1, Matieland, 7602, Stellenbosch, South Africa

    Leon van Wyk

Authors
  1. Johan Meyer
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  2. Jenő Szigeti
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  3. Leon van Wyk
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Correspondence to Johan Meyer.

Additional information

Communicated by Mária B. Szendrei

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Meyer, J., Szigeti, J. & van Wyk, L. On ideals of triangular matrix rings. Period Math Hung 59, 109–115 (2009). https://doi.org/10.1007/s10998-009-9109-y

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  • DOI: https://doi.org/10.1007/s10998-009-9109-y

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