On partitioned differential quasifields

Keigher WF; Pritchard FL

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On partitioned differential quasifields

机译：在分区微分拟域上

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摘要

A differential quasifield is a natural generalization of a differential field in characteristic p > 0. Elementary properties of differential quasifields are considered, and a generalized version of the theorem on the connection between linear independence over constants and the wronskian is presented. The notion of a partitioned differential quasifield is introduced, and the behavior of partitioned differential quasifields is considered, including under an extension of scalars.

机译：微分拟场是特征p> 0时微分场的自然概括。考虑了微分拟场的基本性质，并给出了关于常数的线性独立性和wronskian之间联系的定理的广义形式。引入了分区差分拟域的概念，并考虑了分区差分拟域的行为，包括在标量的扩展下。

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《Journal of algebra and its applications》 |2008年第4期|共17页
作者
Keigher WF; Pritchard FL;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
differential ring; differential quasifield; Hurwitz series; Hurwitz polynomial; linear independence over constants; scalar extension;

机译：微分环;微分拟域;Hurwitz级数;Hurwitz多项式;常数的线性独立性;标量扩展;

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On partitioned differential quasifields

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