Holder valuation and holder rigidity for right ring of fractions

The purpose of this article is to introduce the notion of Krull valuations, (C1,C2)-Holder Krull valuations on right ring of fractions ( with respect to right denominator set S in a ring R) and it is proved that a (C1,C2)-Holder Krull valuation on right ring of fractions ( with respect to right denominator set S in ring R) equivalent to classical Krull valuation on right ring of fractions ( with respect to right denominator set S in ring R), when R is satisfying in Holder rigidity. This results provide an extension of the Garsia theorem(see[2]) for right ring of fractions ( with respect to right denominator set S in a ring R).