def __init__(self, R, L):
"""
Initialize ``self``.
TESTS::
sage: L = posets.BooleanLattice(4)
sage: M = L.moebius_algebra(QQ)
sage: TestSuite(M).run()
"""
cat = Algebras(R).Commutative().WithBasis()
if L in FiniteEnumeratedSets():
cat = cat.FiniteDimensional()
self._lattice = L
self._category = cat
Parent.__init__(self, base=R, category=self._category.WithRealizations())
def __init__(self, R, P, prefix='I'):
"""
Initialize ``self``.
TESTS::
sage: P = posets.BooleanLattice(4)
sage: I = P.incidence_algebra(QQ)
sage: TestSuite(I).run() # long time
"""
cat = Algebras(R).WithBasis()
if P in FiniteEnumeratedSets():
cat = cat.FiniteDimensional()
self._poset = P
CombinatorialFreeModule.__init__(self, R, map(tuple, P.relations()),
prefix=prefix, category=cat)
