Free Associative Algebras
Two-sided ideals
Types
The OSCAR type for two-sided ideals in a free associative algebra is FreeAssAlgIdeal{T}
, where T
is the element type of the algebra.
Constructors
ideal(R::FreeAssAlgebra, g::Vector{T}) where T <: FreeAssAlgElem
ideal(g::Vector{T}) where T <: FreeAssAlgElem
Ideal Membership
ideal_membership
— Methodideal_membership(a::FreeAssAlgElem, I::FreeAssAlgIdeal, deg_bound::Int)
Return true
if calucations with intermediate degrees bounded by deg_bound
prove that $a$ is in $I$. Otherwise, a return of false
indicates an inconclusive answer, but larger deg_bound
s give more confidence in a negative answer.