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  • 1 University of the Free State Department of Mathematics and Applied Mathematics PO Box 339 Bloemfontein 9300 South Africa
  • 2 University of Miskolc Institute of Mathematics Miskolc H-3515 Hungary
  • 3 Stellenbosch University Department of Mathematical Sciences P/Bag X1 Matieland 7602 Stellenbosch South Africa
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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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