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Non-induced isomorphisms of matrix rings

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Abstract

We give examples of distinct integersi, j, and ringsT for which the matrix ringsM i (T) andM j (T) are isomorphic as rings, but for which the free modules T T (i) and T T (i) are non-isomorphic asT-modules.

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References

  1. G. Abrams,On the existence of rings R with R isomorphic to RFM (R), Journal of the Australian mathematical Society (Series A)42 (1987), 129–131.

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  2. W. Leavitt,The module type of a ring, Transactions of the American Mathematical Society103 (1962), 113–130.

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Authors and Affiliations

  1. Department of Mathematics, University of Colorado, 80933, Colorado Springs, CO, USA

    Gene Abrams

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  1. Gene Abrams
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Correspondence to Gene Abrams.

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Abrams, G. Non-induced isomorphisms of matrix rings. Isr. J. Math. 99, 343–347 (1997). https://doi.org/10.1007/BF02760690

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  • DOI: https://doi.org/10.1007/BF02760690

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