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Difference Nullstellensatz

2009/08/26 by Dima Trushin, Trushin, Dima
Computer Science · Mathematics · #12H05 #Advanced Topics in Algebra #Coding theory and cryptography #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #msc:12H05

paper · pdf · doi:10.48550/arxiv.0908.3865

19 pages, introduction has been rewritten, English grammatical mistakes have been corrected, section 2 has been added, section 3 (now section 4) has been extended

openalex publication_date 2009/08/26 · arxiv created 2011/03/07 · arxiv updated 2011/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove different forms of the Nullstellensatz for difference fields and absolutely flat simple difference rings, called pseudofields. A difference ring is a ring on which an arbitrary group is acting by means of ring automorphisms.

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