Chain conditions on symmetric elements
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- by Susan Montgomery PDF
- Proc. Amer. Math. Soc. 46 (1974), 325-331 Request permission
Abstract:
Recently Britten has proven an analog of Goldie’s theorem for the Jordan ring $S$ of symmetric elements in a ring with involution of characteristic not 2. In this paper we first extend Britten’s theorem to the situation where $R$ is an arbitrary ring and the Jordan ring is only an ample subring of the symmetric elements. We apply this result to show that if $S$ has ACC on quadratic ideals, then the (Jordan) nil radical of $S$ is nilpotent.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 46 (1974), 325-331
- MSC: Primary 16A28
- DOI: https://doi.org/10.1090/S0002-9939-1974-0349736-6
- MathSciNet review: 0349736