DGAlgebras : Table of Contents
DGAlgebras -- Data types and basic functions on differential graded (DG) Algebras.
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acyclicClosure(Ring) -- Compute the acyclic closure of the residue field of a ring up to a certain degree
adjoinVariables -- Adjoins variables to make the specified cycles boundaries.
AssertWellDefined -- Option to check whether the lifted map on DGAlgebras is well defined.
cycles -- Cycles chosen when computing the homology algebra of a DGAlgebra
deviations -- Computes the deviations of the input ring, complex, or power series.
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dgAlgebraMap -- Define a DG algebra map between DG algebras.
EndDegree -- Option to specify the degree to stop computing killing cycles and acyclic closure
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GenDegreeLimit -- Option to specify the maximum degree to look for generators
getBasis -- Get a basis for a particular homological degree of a DG algebra.
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getGenerators -- Returns a list of cycles whose images generate HH(A) as an algebra
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HH DGAlgebra -- Compute the homology algebra of a DGAlgebra.
HH DGAlgebraMap -- Computes the homomorphism in homology associated to a DGAlgebraMap.
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isAcyclic -- Determines if a DGAlgebra is acyclic.
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isGolod -- Determines if a ring is Golod
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killCycles -- Adjoins variables to make non-bounding cycles boundaries in the lowest positive degree with nontrivial homology.
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liftToDGMap -- Lift a ring homomorphism in degree zero to a DG algebra morphism
maxDegree -- Computes the maximum homological degree of a DGAlgebra
natural -- The underlying algebra of a DGAlgebra.
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RelDegreeLimit -- Option to specify the maximum degree to look for relations
ringMap -- RingMap of a DGAlgebraMap in degree zero.
setDiff -- Sets the differential of a DGAlgebra manually.
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StartDegree -- Option to specify the degree to start computing the acyclic closure and killing cycles
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TMOLimit -- Option to specify the maximum arity of the trivial Massey operation
toComplex -- Converts a DGAlgebra to a ChainComplex
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toComplexMap -- Construct the ChainComplexMap associated to a DGAlgebraMap
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torMap -- Compute the map of Tor algebras associated to a RingMap.
zerothHomology -- Compute the zeroth homology of the DGAlgebra A as a ring.