fieldsI
In mathematics, fieldsI denotes a family {F_i}_{i∈I} of fields indexed by a set I. The index set I may be finite or infinite. When treated as a diagram, fieldsI can be described by a functor from a small index category I to the category of fields, encoding a structured collection of fields with maps between them.
Basic constructions with fieldsI include the Cartesian product ∏_{i∈I} F_i, which carries a natural ring structure
Examples: If I = {1,2} with F_1 = Q and F_2 = R, then fieldsI consists of the two
Applications: The notion appears in algebraic geometry, number theory, and model theory to model fiberwise or
Notes: The exact meaning of fieldsI depends on context, and the term is not universally fixed. Consult