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Central Polynomials for Matrices

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Polynomial Identity Rings

Part of the book series: Advanced Courses in Mathematics CRM Barcelona ((ACMBIRK))

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Abstract

Let R be an algebra. The polynomial c(x 1,…,x m) ∈ K(X) is called a central polynomial for R if it has no constant term, c(r1, …, rm) belongs to the centre of R for all r1,…,rmR, and c(x 1,…,xm) = 0 is not a polynomial identity for R.

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© 2004 Springer Basel AG

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Drensky, V., Formanek, E. (2004). Central Polynomials for Matrices. In: Polynomial Identity Rings. Advanced Courses in Mathematics CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7934-7_5

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  • DOI: https://doi.org/10.1007/978-3-0348-7934-7_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-7126-5

  • Online ISBN: 978-3-0348-7934-7

  • eBook Packages: Springer Book Archive

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