Upper bound of multiplicity of F-rational rings and F-pure rings

TL;DR

This paper establishes an upper bound on the multiplicity of F-pure rings, addressing a question posed by Karl Schwede and contributing to the understanding of their algebraic properties.

Contribution

It provides a definitive upper bound on the multiplicity of F-pure rings, advancing the theoretical understanding of their structure.

Findings

Confirmed an upper bound on the multiplicity of F-pure rings

Answered a question posed by Karl Schwede

Contributed to the theory of F-singularities

Abstract

This paper answers in the affirmative a question raised by Karl Schwede concerning an upper bound on the multiplicity of F-pure rings.