def __init__(self, A, names=None):
"""
Initialize ``self``.
TESTS::
sage: F.<x,y,z> = FreeAlgebra(QQ)
sage: J = JordanAlgebra(F)
sage: TestSuite(J).run()
sage: J.category()
Category of commutative unital algebras with basis over Rational Field
"""
R = A.base_ring()
C = MagmaticAlgebras(R)
if A not in C.Associative():
raise ValueError("A is not an associative algebra")
self._A = A
cat = C.Commutative()
if A in C.Unital():
cat = cat.Unital()
self._no_generic_basering_coercion = True
# Remove the preceding line once trac #16492 is fixed
# Removing this line will also break some of the input formats,
# see trac #16054
if A in C.WithBasis():
cat = cat.WithBasis()
if A in C.FiniteDimensional():
cat = cat.FiniteDimensional()
Parent.__init__(self, base=R, names=names, category=cat)
def __init__(self, A, names=None):
"""
Initialize ``self``.
TESTS::
sage: F.<x,y,z> = FreeAlgebra(QQ)
sage: J = JordanAlgebra(F)
sage: TestSuite(J).run()
sage: J.category()
Category of commutative unital algebras with basis over Rational Field
"""
R = A.base_ring()
C = MagmaticAlgebras(R)
if A not in C.Associative():
raise ValueError("A is not an associative algebra")
self._A = A
cat = C.Commutative()
if A in C.Unital():
cat = cat.Unital()
if A in C.WithBasis():
cat = cat.WithBasis()
if A in C.FiniteDimensional():
cat = cat.FiniteDimensional()
Parent.__init__(self, base=R, names=names, category=cat)
