Magma

MAGMA Computational Algebra System

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Next: General Local Fields Up: Arithmetic Fields (Local) Previous: Arithmetic Fields (Local)


Series Rings


Removals and Changes:

  • Some improvements have been made to Factorization of polynomials over series rings.

  • The integer ring or the field of fractions is now remembered by a series ring.


New Features:

  • Some of the basic arithmetic functions have been improved when the result has high precision.

  • Extensions of series rings can be constructed having unbounded precision.

  • For elements of extensions of series rings IsUnit has been added.


Bug Fixes:

  • Some precision handling has been improved for extensions of series rings.

  • The construction of an unramified extension by a polynomial not over the coefficient ring of the series ring has been fixed. (V2.15-11)

  • The computation of roots of a polynomial over a series ring with low precision has been fixed. (V2.15-13)

  • The coercion of rational functions into series rings over the integer ring has been fixed. (V2.15-13)


next up previous
Next: General Local Fields Up: Arithmetic Fields (Local) Previous: Arithmetic Fields (Local)

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