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Invariance of minimal prime ideals of nonassociative rings under multiplicative isomorphisms

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Abstract

It is proved that the image of a minimal prime ideal under a multiplicative isomorphism in a nonassociative ring is also a minimal prime ideal and congruence with respect to its modulus is preserved.

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Literature cited

  1. K. A Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Almost Associative Rings [in Russian], Moscow (1978).

  2. A. G. Kurosh, Lectures on General Algebra [in Russian], Moscow (1962).

  3. A. V. Mikhalev, “Multiplicative classification of associative rings,” Mat. Sb.,135(177), No. 2, 210–224 (1988).

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Authors
  1. A. V. Mikhalev
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 175, pp. 90–92, 1989.

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Mikhalev, A.V. Invariance of minimal prime ideals of nonassociative rings under multiplicative isomorphisms. J Math Sci 57, 3498–3499 (1991). https://doi.org/10.1007/BF01100119

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  • DOI: https://doi.org/10.1007/BF01100119

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