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# ExteriorIdeals : Table of Contents

- ExteriorIdeals -- a package for working with ideals over exterior algebra
- allHilbertSequences -- compute all Hilbert sequences of quotients in an exterior algebra
- hilbertSequence -- compute the Hilbert sequence of a given ideal in an exterior algebra
- initialDegree -- compute the initial degree of a graded ideal
- initialIdeal -- compute the initial ideal of a given ideal
- isHilbertSequence -- whether the given sequence is a Hilbert sequence
- isLexIdeal -- whether an ideal is lex
- isStableIdeal -- whether a monomial ideal in an exterior algebra is stable
- isStronglyStableIdeal -- 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
- macaulayExpansion -- compute the Macaulay expansion of a positive integer
- minimalBettiNumbers -- compute the minimal Betti numbers of a given graded ideal
- Shift -- optional argument for macaulayExpansion
- solveMacaulayExpansion -- compute the sum of a Macaulay expansion
- stableIdeal -- 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