Valuations are made primary in the theory of commutative mosaics, yielding a category with finite limits and coproducts, and factor nesting characterizes associativity among total product-ultrametric mosaics.
Linzi.Algebraic hyperstructures in the model theory of valued fields
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Valued Mosaics
Valuations are made primary in the theory of commutative mosaics, yielding a category with finite limits and coproducts, and factor nesting characterizes associativity among total product-ultrametric mosaics.