2009/08/26 by Dima Trushin, Trushin, Dima · 3 citations
Chemistry · Computer Science · Mathematics · #12H05 #Coding theory and cryptography #Commutative Algebra (math.AC) #FOS: Mathematics #Ferrocene Chemistry and Applications #Finite Group Theory Research #math.AC #msc:12H05
paper · pdf · doi:10.48550/arxiv.0908.3863
43 pages. In Proposition 25 (Statement 25), condition (3) was added. Propositions 26, 34 were added. For Proposition 31 (Statement 29), a second proof was added. Sections 4.6-4.10 were added. For Proposition 42 (Statement 37), a complete proof was added. Propositions 44, 46 (Statement 39, 40) were generalized. Additionally, some typos were corrected. The abstract was slightly modified
openalex publication_date 2009/08/26 · arxiv created 2010/10/20 · arxiv updated 2010/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a geometric theory for difference equations with a given group of automorphisms. To solve this problem we extend the class of difference fields to the class of absolutely flat simple difference rings called pseudofields. We prove the Nullstellensatz over pseudofields and investigate geometric properties of pseudovarieties.