Other acknowledgements:

The method- Luca Amata <lamata@unime.it>

Version **1.0** of this package was accepted for publication in volume 8 of the journal The Journal of Software for Algebra and Geometry on 24 June 2018, in the article ExteriorIdeals: a package for computing monomial ideals in an exterior algebra. That version can be obtained from the journal or from the *Macaulay2* source code repository, http://github.com/Macaulay2/M2/blob/master/M2/Macaulay2/packages/ExteriorIdeals.m2, commit number 1073789664ba1f00096121613a8b6d932a0e5c4e.

- Functions and commands
- 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
- 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
- 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

- Symbols
- Shift -- optional argument for macaulayExpansion