Differential Modules over Differential Rings
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics;
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Product details:
- Edition number 1
- Publisher Chapman and Hall
- Date of Publication 14 April 2026
- ISBN 9781032588100
- Binding Hardback
- No. of pages236 pages
- Size 234x156 mm
- Weight 453 g
- Language English
- Illustrations 15 Illustrations, black & white; 15 Line drawings, black & white 700
Categories
Short description:
This book 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.
MoreLong description:
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.
Table of Contents:
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
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