Nullstellensatz over quasifields

Details Nullstellensatz over quasifields Nullstellensatz over quasifields

2009-06-05

arxiv.org/abs/0906.1183v1

Mathematics

Commutative Algebra

21 pages

Scientific paper

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.

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