Differential Modules over Differential Rings provides an introduction and reference for researchers in commutative and differential algebra and could be used as the basis for a graduate course or seminar. The book is best suited to an audience for whom the terminology of rings, modules, homomorphisms, and categories is already familiar. Although the topic is rooted in differential algebra, and the book should be of interest to workers in that area, no particular prior knowledge of differential algebra is assumed. When it is necessary to use specialized results from differential algebra, especially Picard-Vessiot theory, the necessary definitions and theorems are supplied.
Features
Collects the basic definitions and results about differential modules in one convenient reference with uniform notation
Accessible to readers who don't have extensive specialized knowledge of differential algebra or commutative ring theory
The first book of its kind dedicated exclusively to the topic in this generality
Presents new formulations of previously published work as well as new results not previously published.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Academic and Postgraduate
Illustrationen
15 s/w Zeichnungen, 15 s/w Abbildungen
15 Line drawings, black and white; 15 Illustrations, black and white
Maße
Höhe: 234 mm
Breite: 156 mm
Gewicht
ISBN-13
978-1-032-58810-0 (9781032588100)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Andy R. Magid is George Lynn Cross Professor of Mathematics Emeritus at the University of Oklahoma whose faculty he joined in 1972. He holds the B.A. and PhD degrees in Mathematics from the University of California and Northwestern University, respectively. He was in the inaugural class of Fellows of the American Mathematical Society.
Autor*in
The University of Oklahoma, Norman, USA
1. Differential Rings 2. Differential Modules over Differential Fields 3. Differential Rings over Differential Fields 4. Differential Projective Modules 5. K-Theory of Differential Modules
