うん、”Universal algebraic geometry”（下記）がすでにあって、それを意識して、inter-universal geometryという英語名にして、それを漢字表現にしたと思います en.wikipedia.org/wiki/Universal_algebraic_geometry Universal algebraic geometry In universal algebraic geometry, algebraic geometry is generalized from the geometry of rings to geometry of arbitrary varieties of algebras, so that every variety of algebra has its own algebraic geometry. Note that the two terms algebraic variety and variety of algebra should not be confused.
[edit] See alsoAlgebraic geometry Universal algebra
