Goldie’s theorem for alternative rings

Essannouni, H.; Kaidi, A.

doi:10.1090/S0002-9939-1994-1181162-5

Goldie’s theorem for alternative rings
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by H. Essannouni and A. Kaidi PDF

Proc. Amer. Math. Soc. 121 (1994), 39-45 Request permission

Abstract:

It is known that the socle of a semiprime Goldie ring is generated by a central idempotent and that a prime Goldie ring with a nonzero socle is a simple artinian ring. We prove the extension of these results to alternative rings. We also give an analogue of Goldie’s theorem for alternative rings. A Goldie-like theorem was obtained earlier by the authors for noetherian alternative rings by a quite different method.

References

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