English

Nullstellensatz over quasifields

Commutative Algebra 2009-06-08 v1

Abstract

We investigate the least studied class of differential rings -- the class of differential rings of nonzero characteristic. We present the notion of differentially closed quasifield and develop geometrical theory of differential equations in nonzero characteristic. The notions of quasivarieties and their morphisms are scrutinized. Presented machinery is a basis for reduction modulo p for differential equations.

Keywords

Cite

@article{arxiv.0906.1183,
  title  = {Nullstellensatz over quasifields},
  author = {Dima Trushin},
  journal= {arXiv preprint arXiv:0906.1183},
  year   = {2009}
}

Comments

21 pages

R2 v1 2026-06-21T13:10:12.175Z