Difference Nullstellensatz in the case of finite group
Commutative Algebra
2010-10-22 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0908.3863,
title = {Difference Nullstellensatz in the case of finite group},
author = {Dima Trushin},
journal= {arXiv preprint arXiv:0908.3863},
year = {2010}
}
Comments
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