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# Bruns : Table of Contents

- Bruns -- produces an ideal with three generators whose 2nd syzygy module is isomorphic to a given module
- bruns -- Returns an ideal generated by three elements whose 2nd syzygy module is isomorphic to a given module
- brunsIdeal -- Returns an ideal generated by three elements whose 2nd syzygy module agrees with the given ideal
- elementary -- Elementary moves are used to reduce the target of a syzygy matrix
- evansGriffith -- Reduces the rank of a syzygy
- isSyzygy -- Tests if a module is a d-th syzygy