Difference Nullstellensatz

Abstract

We prove different forms of the Nullstellensatz for difference fields and absolutely flat simple difference rings, called pseudofields. A difference ring is a ring on which an arbitrary group is acting by means of ring automorphisms.

19 pages, introduction has been rewritten, English grammatical mistakes have been corrected, section 2 has been added, section 3 (now section 4) has been extended

References in corpus (2)

• Difference Nullstellensatz in the case of finite group
• A Chevalley theorem for difference equations

Cited by in corpus (1)

• Existence of $\partial$-parameterized Picard-Vessiot extensions over fields with algebraically closed constants