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# ExteriorModules : Table of Contents

- ExteriorModules -- a package for working with modules over exterior algebra
- almostLexModule -- compute an almost lex module with the same Hilbert sequence of the module in input
- almostStableModule -- compute the smallest almost stable module containing a given monomial module
- almostStronglyStableModule -- compute the smallest almost strongly stable module containing a given monomial module
- bassNumbers -- compute the Bass numbers of a given graded module
- createModule -- create a module over an exterior algebra from a list of ideals in input
- getIdeals -- get component ideals from a monomial module
- hilbertSequence(Module) -- compute the Hilbert sequence of a given module over an exterior algebra
- initialModule -- compute the initial module of a given module
- isAlmostLexModule -- whether a monomial module over an exterior algebra is almost lex
- isAlmostStableModule -- whether a monomial module over an exterior algebra is almost stable
- isAlmostStronglyStableModule -- whether a monomial module over an exterior algebra is almost strongly stable
- isHilbertSequence(List,Module) -- whether the given sequence is a Hilbert sequence
- isLexModule -- whether a monomial module over an exterior algebra is lex
- isMonomialModule -- whether a module is monomial
- isStableModule -- whether a monomial module over an exterior algebra is stable
- isStronglyStableModule -- whether a monomial module over an exterior algebra is strongly stable
- lexModule -- compute the lex submodule with a given Hilbert sequence in a free module
- lexModuleBySequences -- alternative algorithm to compute the lex submodule with a given Hilbert sequence in a free module
- minimalBettiNumbers(Module) -- compute the minimal Betti numbers of a given graded module
- stableModule -- compute the smallest stable module containing a given monomial module
- stronglyStableModule -- compute the smallest strongly stable module containing a given monomial module