Differential algebraic dependence and Novikov dependence

Autor:	Duisengalieva, Bibinur, Umirbaev, Ualbai
Rok vydání:	2020
Předmět:	Mathematics - Rings and Algebras 12H05 17D25
Druh dokumentu:	Working Paper
Popis:	We define an analogue of the Fox derivatives for differential polynomial algebras and give a criterion for differential algebraic dependence of a finite system of elements. In particular, we prove that differential algebraic dependence of a finite set of elements of a differential polynomial algebra over a constructive differential field $k$ of characteristic zero is algorithmically recognizable. Using a representation of free Novikov algebras by differential polynomials we also give a criterion of Novikov dependence of a finite system of elements of free Novikov algebras. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.00383 Zobrazit plný text záznamu View this record from Arxiv