AlgebraIdeals

class sage.categories.algebra_ideals.AlgebraIdeals(A)

Bases: sage.categories.category_types.Category_ideal

The category of two-sided ideals in a fixed algebra .

EXAMPLES:

sage: AlgebraIdeals(FreeAlgebra(QQ,2,'a,b'))
Category of algebra ideals in Free Algebra on 2 generators (a, b) over Rational Field

TODO:

• If useful, implement AlgebraLeftIdeals and AlgebraRightIdeals of which AlgebraIdeals would be a subcategory
• Make AlgebraIdeals(R), return CommutativeAlgebraIdeals(R) when R is commutative

algebra()

EXAMPLES:

sage: AlgebraIdeals(QQ[x]).algebra()
Univariate Polynomial Ring in x over Rational Field

super_categories(*args, **kwds)

EXAMPLES:

sage: AlgebraIdeals(QQ[x]).super_categories()
[Category of algebra modules over Univariate Polynomial Ring in x over Rational Field]