K-Theory of Differential Modules
Abstract
Looks at the classification of differential finitely generated projective modules over a differential commutative ring R. Of course, they are classified by isomorphism classes, and the isomorphism classes form a monoid under the operation induced from direct sum but the goal is something more manageable. Following some of the inspirations of K theory, the classification studied is the monoid which, basically, is the most general monoid (1) to which the monoid of isomorphism classes maps homomorphically; and (2) in which the isomorphism classes of all the modules tensored up from the ring of constants of R go to the identity.
Fields of Study & Subjects
Rings
Modules
and Algebras
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Chapman & Hall/CRC eBooks
- Pages
- 179–214
- Publication date
- 5 February 2026
- Language
- EN
- Document type
- Book chapter