ON PARTITIONED DIFFERENTIAL QUASIFIELDS-Reference-Cited by-同舟云学术

ON PARTITIONED DIFFERENTIAL QUASIFIELDS

Published:2008-08 Issue:04 Volume:07 Page:425-441
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

KEIGHER WILLIAM F.¹,PRITCHARD F. LEON²

Affiliation:

1. Department of Mathematics and Computer Science, Rutgers, The State University of New Jersey, Smith Hall, Room 216, 101 Warren Street, Newark, NJ 07102-1811, USA

2. Department of Mathematics and Computer Science, York College (CUNY), Jamaica, NY 11451, USA

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498808002849

Reference6 articles.

1. Differential rings constructed from quasi-prime ideals

2. On the ring of hurwitz series

3. Hurwitz series as formal functions

4. Differential Galois theory and tensor products

5. Graduate Texts in Mathematics;Mac Lane S.,1998

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1. Nullstellensatz over Quasifields;Communications in Algebra;2011-10

2. Nullstellensatz over quasi-fields;Russian Mathematical Surveys;2010-01-01