Regular split embedding problems over complete valued fields

Regular Split Embedding Problemsover Function Fields of One

FUZZY HYPERVECTOR SPACES OVER VALUED FIELDS

In this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. Finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.

PERIOD-INDEX AND u-INVARIANT QUESTIONS FOR FUNCTION FIELDS OVER COMPLETE DISCRETELY VALUED FIELDS

Let K be a complete discretely valued field with residue field κ and F the function field of a curve over K. Let p be the characteristic of κ and l a prime not equal to p. If the Brauer l-dimensions of all finite extensions of κ are bounded by d and the Brauer l-dimensions of all extensions of κ of transcendence degree at most 1 are bounded by d + 1, then it is known that the Brauer l-dimension...

Linear Problems in Valued Fields

A quantifier elimination procedure for a class M over a language L is an algorithm that given an L-formula φ computes a quantifier-free L-formula φ′ such that M |= φ′ ←→ φ. An L-formula is called linear if it contains no products or reciprocals of quantified variables. Quantifier elimination methods for valued fields have been extensively investigated in the past. The existence of a quantifier ...

fuzzy hypervector spaces over valued fields

in this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.