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Nilpotents and units in skew polynomial rings over commutative rings
Published online by Cambridge University Press: 09 April 2009
Abstract
Let R be a commutative ring with an automorphism ∞ of finite order n. An element f of the skew polynomial ring R[x, α] is nilpotent if and only if all coefficients of fn are nilpotent. (The case n = 1 is the well-known description of the nilpotent elements of the ordinary polynomial ring R[x].) A characterization of the units in R[x, α] is also given.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 28 , Issue 4 , December 1979 , pp. 423 - 426
- Copyright
- Copyright © Australian Mathematical Society 1979
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