Geodesic
On Semiprime Ample Jordan Rings
Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 145-148

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is to point out that the arguments of [2] with slight modification extend the main result of [2] to the case of H satisfying either ACC or DCC on quadratic ideals and they extend [6, Theorem 2] to R being semiprime. Thus we obtainTheorem 1. Let R be a semiprime associative ring with involution ✶ and J a closed ample quadratic Jordan subring of H(R) satisfying either ACC or DCC on quadratic ideals. Then R is Goldie. In this case, J has a Jordan ring of quotients J′ which is a closed ample quadratic Jordan subring of H(R′) where R′ is the associative ring of quotients of R. 
Britten, Daniel J. On Semiprime Ample Jordan Rings. Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 145-148. doi: 10.4153/CMB-1976-021-4
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[1] 1. Britten, D. J., On Prime Jordan Rings H(R) with Chain Conditions, J. Algebra, 27 (1973), 414–421. Google Scholar | DOI

[2] 2. Britten, D. J., On Semiprime Jordan Rings H(R) with ACQ, Proc. Amer. Math. Soc, 45 (1974), 175–178. Google Scholar

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[6] 6. Montgomery, Susan, Chain Condition on Symmetric Elements, Proc. Amer. Math. Soc. 46 (1974), 325–331. Google Scholar | DOI

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