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modules I

Getting started

  • construction of modules
  • free modules
  • matrices to and from modules (including kernel, cokernel and image)
  • ideals to and from modules

  • Hilbert functions and free resolutions
  • including degree and betti numbers

  • operations on modules
  • including direct sum, tensor products, and annihilators

  • homomorphisms (maps) between modules
  • including elements of modules

  • subquotient modules -- the way Macaulay 2 represents modules
  • Macaulay 2 has handed you a subquotient module. What now?

    • See modules II for more operations on modules.

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