About: Twisted polynomial ring

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In mathematics, a twisted polynomial is a polynomial over a field of characteristic in the variable representing the Frobenius map . In contrast to normal polynomials, multiplication of these polynomials is not commutative, but satisfies the commutation rule for all in the base field.

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  • In mathematics, a twisted polynomial is a polynomial over a field of characteristic in the variable representing the Frobenius map . In contrast to normal polynomials, multiplication of these polynomials is not commutative, but satisfies the commutation rule for all in the base field. Over an infinite field, the twisted polynomial ring is isomorphic to the ring of additive polynomials, but where multiplication on the latter is given by composition rather than usual multiplication. However, it is often easier to compute in the twisted polynomial ring — this can be applied especially in the theory of Drinfeld modules. (en)
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  • In mathematics, a twisted polynomial is a polynomial over a field of characteristic in the variable representing the Frobenius map . In contrast to normal polynomials, multiplication of these polynomials is not commutative, but satisfies the commutation rule for all in the base field. (en)
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  • Twisted polynomial ring (en)
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