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FROBENIUS POWERS OF COMPLETE INTERSECTIONS LUCHEZAR L. AVRAMOV AND CLAUDIA MILLER
 

Summary: 



FROBENIUS POWERS OF COMPLETE INTERSECTIONS



LUCHEZAR L. AVRAMOV AND CLAUDIA MILLER



Introduction

Let R be a commutative noetherian local ring of characteristic p > 0, and let
OE: R ! R be the Frobenius endomorphism, OE(a)r= ap. Each iterationrOEr defines
on R a new structure of R-module, denoted OER, for which a . b =rap b.
In 1969 Kunz [7, (3.3)] observedrthat if R is regular, then OER is flat for a*
*ll r 0
and he discovered that if OER is flat for some r 1, then R is regular. Regula*

  

Source: Avramov, Luchezar L.- Department of Mathematics, University of Nebraska-Lincoln

 

Collections: Mathematics