On Jordan ideals and matrix rings |
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Authors: | Jennifer L. Roche |
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Affiliation: | aThe College of Wooster, 1189 Beall Avenue, Wooster, OH 44691, USA |
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Abstract: | For A, a commutative ring, and results by Costa and Keller characterize certain -normalized subgroups of the symplectic group, via structures utilizing Jordan ideals and the notion of radices. The following work creates a Jordan ideal structure theorem for -graded rings, A0A1, and a -graded matrix algebra. The major theorem is a generalization of Costa and Keller’s previous work on matrix algebras over commutative rings. |
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Keywords: | Matrix rings Jordan ideals Nonassociative algebras |
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