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x_i -- a binary operator which is used for various mathematica operations that are customarily written with subscripts.

A binary method may be installed for x_i with code like

               X _ Y := (x,i) -> ...
where X is the prospective class of x and Y is the class of i.

Examples where methods have been installed:

  • C_i -- get a module from a chain complex
  • f_i -- get a column from a matrix
  • p_i -- get a component from a map of chain complexes
  • f_(i,j) -- get an entry from a matrix
  • f_{i,j} -- get some columns from a matrix
  • f_m -- get a coefficient from a polynomial
  • M_i -- get a generator in a module or monoid
  • M_{i} -- get a generator mapping to a module
  • G_i -- get a generator from a monoid
  • R_i -- get a generator from a ring
  • Tor_i -- Tor functor
  • HH_i -- homology functor
  • v_i -- get an entry from a vector
  • S_v -- make an element of a Schur ring
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