Holder valuation and holder rigidity for right ring of fractions

Year 2017, Volume: 5 Issue: 2, 237 - 241, 30.03.2017

Abdolghafoor Allahyari Mohammad Hossein Hosseini

Abstract

The purpose of this article is to introduce the notion of (C1,C2)-Holder Krull valuation on right ring of fractions ( with respect to right denominator set S in a ring R). It is proved that if R is a ring satisfying in Holder rigidity condition, and S a right permutable set of regular elements in R, then the right ring of fractions R′= Q _Â(R)  with respect to S satisfies in H¨older  rigidity  condition. This results provide an extension of the Garsia theorem (see [2]) for right ring of fractions.

Keywords

Valuation, Holder valuation, Holder equivalent

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