FractionalIdeal(R, F, UP, A)ΒΆ

divisor.spad line 1

Fractional ideals in a framed algebra.

1: %
from MagmaWithUnit
*: (%, %) -> %
from Magma
/: (%, %) -> %
from Group
=: (%, %) -> Boolean
from BasicType
^: (%, Integer) -> %
from Group
^: (%, NonNegativeInteger) -> %
from MagmaWithUnit
^: (%, PositiveInteger) -> %
from Magma
~=: (%, %) -> Boolean
from BasicType
basis: % -> Vector A
basis((f1, ..., fn)) returns the vector [f1, ..., fn].
coerce: % -> OutputForm
from CoercibleTo OutputForm
commutator: (%, %) -> %
from Group
conjugate: (%, %) -> %
from Group
denom: % -> R
denom(1/d * (f1, ..., fn)) returns d.
hash: % -> SingleInteger
from SetCategory
hashUpdate!: (HashState, %) -> HashState
from SetCategory
ideal: Vector A -> %
ideal([f1, ..., fn]) returns the ideal (f1, ..., fn).
inv: % -> %
from Group
latex: % -> String
from SetCategory
leftPower: (%, NonNegativeInteger) -> %
from MagmaWithUnit
leftPower: (%, PositiveInteger) -> %
from Magma
leftRecip: % -> Union(%, failed)
from MagmaWithUnit
minimize: % -> %
minimize(I) returns a reduced set of generators for I.
norm: % -> F
norm(I) returns the norm of the ideal I.
numer: % -> Vector A
numer(1/d * (f1, ..., fn)) = the vector [f1, ..., fn].
one?: % -> Boolean
from MagmaWithUnit
randomLC: (NonNegativeInteger, Vector A) -> A
randomLC(n, x) should be local but conditional.
recip: % -> Union(%, failed)
from MagmaWithUnit
rightPower: (%, NonNegativeInteger) -> %
from MagmaWithUnit
rightPower: (%, PositiveInteger) -> %
from Magma
rightRecip: % -> Union(%, failed)
from MagmaWithUnit
sample: %
from MagmaWithUnit

BasicType

CoercibleTo OutputForm

Group

Magma

MagmaWithUnit

Monoid

SemiGroup

SetCategory

unitsKnown