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Ring ^ {...} -- make a free module

Synopsis:

  • Usage: M = R^{i,j,k,...}
  • Operator: ^ -- a binary operator, usually used for exponents
  • Input:
  • R, an instance of class Ring.
  • {i,j,k, ...}, an instance of class List: a list of integers or lists of integers
  • Output:
  • M, an instance of class Module: a free module over R whose generators have degrees -i, -j, -k, ...
  • If i, j, ... are lists of integers, then they represent multi-degrees, as in multi-graded polynomial rings.

    See also:

  • degrees -- degrees of generators
  • free modules

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