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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 quasivariety and its morphisms are scrutinized. Presented machinery is a basis for reduction modulo p for differential equations.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENTS
This text appeared due to my acquaintance with two outstanding people and mathematicians: William Keigher and Yuri Razmyslov. The first one introduced me to the subject and posed the problem; the second one provided me with the technique used throughout the text. It gives me great pleasure to acknowledge my deep debt to professor Alexander V. Mikhalev.
Notes
Communicated by V. A. Artamonov.