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On ℵ0-categorical nilrings

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Abstract

The Jacobson radical of an ℵ0-categorical commutative ring is nilpotent.

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References

  1. J. Baldwin andB. Rose, ℵ0-categoricity and stability of rings, J. Alg.45 (1977), 1–16.

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  2. A. Macintyre andJ. Rosenstein, ℵ0-categoricity for rings without nilpotent elements and for Boolean structures, J. Alg.43 (1976), 129–154.

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  3. G. Sacks,Saturated Model Theory, Benjamin, Reading, Mass., 1972.

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  4. G. Cherlin, On ℵ0-categorical nilrings II, to appear, J.S.L.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, New Brunswick, New Jersey, USA

    Gregory Cherlin

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  1. Gregory Cherlin
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Research supported by NSF Grant MCS 76-06484.

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Cherlin, G. On ℵ0-categorical nilrings. Algebra Universalis 10, 27–30 (1980). https://doi.org/10.1007/BF02482887

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  • DOI: https://doi.org/10.1007/BF02482887

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