# Commutative algebras¶

class sage.categories.commutative_algebras.CommutativeAlgebras(base, name=None)

The category of commutative algebras with unit over a given base ring.

EXAMPLES:

sage: M = CommutativeAlgebras(GF(19))
sage: M
Category of commutative algebras over Finite Field of size 19


TESTS:

sage: TestSuite(CommutativeAlgebras(ZZ)).run()


Todo:

• product ( = cartesian product)
• coproduct ( = tensor product over base ring)
super_categories()

EXAMPLES:

sage: CommutativeAlgebras(QQ).super_categories()
[Category of algebras over Rational Field, Category of commutative rings]


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