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On the Frobenius functor and colon ideals

2007/09/06 by Wenliang Zhang, Zhang, Wenliang
Mathematics · #13E05 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #msc:13E05

paper · pdf · doi:10.48550/arxiv.0709.0943

arxiv created 2007/09/06 · openalex publication_date 2007/09/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the commutativity of the Frobenius functor and the colon operation of two ideals for Noetherian rings of positive characteristic p. New characterizations of regular rings and local UFDs are given.

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