ExteriorIdeals : Index

• allHilbertSequences -- compute all Hilbert sequences of quotients in an exterior algebra
• allHilbertSequences(Ring) -- compute all Hilbert sequences of quotients in an exterior algebra
• ExteriorIdeals -- a package for working with ideals over exterior algebra
• hilbertSequence -- compute the Hilbert sequence of a given ideal in an exterior algebra
• hilbertSequence(Ideal) -- compute the Hilbert sequence of a given ideal in an exterior algebra
• initialDegree -- compute the initial degree of a graded ideal
• initialDegree(Ideal) -- compute the initial degree of a graded ideal
• initialIdeal -- compute the initial ideal of a given ideal
• initialIdeal(Ideal) -- compute the initial ideal of a given ideal
• isHilbertSequence -- whether the given sequence is a Hilbert sequence
• isHilbertSequence(List,Ring) -- whether the given sequence is a Hilbert sequence
• isLexIdeal -- whether an ideal is lex
• isLexIdeal(Ideal) -- whether an ideal is lex
• isStableIdeal -- whether a monomial ideal in an exterior algebra is stable
• isStableIdeal(Ideal) -- whether a monomial ideal in an exterior algebra is stable
• isStronglyStableIdeal -- whether a monomial ideal in an exterior algebra is strongly stable
• isStronglyStableIdeal(Ideal) -- whether a monomial ideal in an exterior algebra is strongly stable
• lexIdeal -- compute the lex ideal with a given Hilbert function in an exterior algebra
• lexIdeal(Ideal) -- compute the lex ideal with a given Hilbert function in an exterior algebra
• lexIdeal(List,Ring) -- compute the lex ideal with a given Hilbert function in an exterior algebra
• macaulayExpansion -- compute the Macaulay expansion of a positive integer
• macaulayExpansion(...,Shift=>...) -- optional argument for macaulayExpansion
• macaulayExpansion(ZZ,ZZ) -- compute the Macaulay expansion of a positive integer
• minimalBettiNumbers -- compute the minimal Betti numbers of a given graded ideal
• minimalBettiNumbers(Ideal) -- compute the minimal Betti numbers of a given graded ideal
• Shift -- optional argument for macaulayExpansion
• solveMacaulayExpansion -- compute the sum of a Macaulay expansion
• solveMacaulayExpansion(List) -- compute the sum of a Macaulay expansion
• stableIdeal -- compute the smallest stable ideal in an exterior algebra containing a given monomial ideal
• stableIdeal(Ideal) -- compute the smallest stable ideal in an exterior algebra containing a given monomial ideal
• stronglyStableIdeal -- compute the smallest strongly stable ideal in an exterior algebra containing a given monomial ideal
• stronglyStableIdeal(Ideal) -- compute the smallest strongly stable ideal in an exterior algebra containing a given monomial ideal