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On tensor products of semiprime algebras which are goldie rings

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Literature cited

  1. N. Jacobson, Theory of Rings [Russian translation], IL, Moscow (1947).

  2. A. W. Goldie, "Semi-prime rings with maximum condition," Proc. London Math. Soc., Ser. 3, 10, No. 38, 201–220 (1960).

    Google Scholar 

  3. A. S. Amitsur, "Rational identities and applications to algebra and geometry," J. Algebra,3, No. 3, 304–359 (1966).

    Google Scholar 

  4. N. Jacobson, Structure of Rings [Russian translation], IL, Moscow (1961).

  5. A. I. Mal'tsev, "On the representation of infinite algebras," Matem. Sbornik,13, Nos. 2, 3 (1943).

  6. B. L. van der Waerden, Modern Algebra, Vol. 1 [Russian translation], Gostekhizdat (1947).

  7. E. C. Posner, "Prime rings satisfying a polynomial identity," Proc. Amer. Math. Soc.,11, No. 2, 180–183 (1960).

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  8. A. V. Jategoankar, "Ore domains and free algebras," Bull. London Math. Soc.,1, 45–46 (1969).

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Translated from Algebra i Logika, Vol. 9, No. 6, pp. 633–650, November–December, 1970.

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Guseva, I.L. On tensor products of semiprime algebras which are goldie rings. Algebr Logic 9, 378–389 (1970). https://doi.org/10.1007/BF02219041

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  • DOI: https://doi.org/10.1007/BF02219041

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