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[ add ] functorial change-of-base from S-YModule to R-YModule induced by an XRing homomorphism from R to S #2913

@jamesmckinna

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@jamesmckinna

See discussion on #2817 concerning the 'diagonal' map.

The action, given appropriate h : XHom (R, S) takes (all the left-right variants on) scalar multiplication s * m in S-YMod to λ r m → h r * m in R-YMod.

NB:

  • X varies over the Ring, Semiring, NearSemiring... etc. Bundles defining 'scalar' structure for
  • Y varying over Module, (Pre){Left|Right}Semimodule etc.

Issues:

  • where should this live?
  • naming?
  • parametrisation wrt Raw bundles vs. fully-articulated Bundles, as usual for homomorphism-related constructions
  • etc.

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