Bases: sage.categories.category_types.Category_ideal
The category of two-sided ideals in a fixed algebra \(A\).
EXAMPLES:
sage: AlgebraIdeals(FreeAlgebra(QQ,2,'a,b'))
Category of algebra ideals in Free Algebra on 2 generators (a, b) over Rational Field
EXAMPLES:
sage: AlgebraIdeals(QQ[x]).algebra()
Univariate Polynomial Ring in x over Rational Field
The category of algebra modules should be a super category of this category.
However, since algebra modules are currently only available over commutative rings, we have to omit it if our ring is non-commutative.
EXAMPLES:
sage: AlgebraIdeals(QQ[x]).super_categories()
[Category of algebra modules over Univariate Polynomial Ring in x over Rational Field]
sage: C = AlgebraIdeals(FreeAlgebra(QQ,2,'a,b'))
sage: C.super_categories()
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