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