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Generalize Tate algebras to positive polyradii #29

Description

@dagurtomas

Goal

Generalize the strict unit-polyradius Tate algebra API to finite positive polyradii while preserving the existing unit-radius declarations.

Possible layers:

  • weighted restricted power series and weighted Gauss norms;
  • nonarchimedean normed-ring and completeness instances;
  • multiplicativity under appropriate value-group hypotheses;
  • universal properties for tuples satisfying the radius bounds;
  • comparison with the existing unit-polyradius algebra when all radii equal 1.

Keep this in separate production modules initially; do not change comparator declarations until the API is stable.

This work is independent of the current global-space and Tate-acyclicity branches. Comment claimed before starting.

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