Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415859 | Journal of Pure and Applied Algebra | 2015 | 41 Pages |
Abstract
Classical homological algebra studies chain complexes, resolutions, and derived functors in additive categories. In this paper we define higher order chain complexes, resolutions, and derived functors in the context of a new type of algebraic structure, called an algebra of left cubical balls. We show that higher order resolutions exist in these algebras, and that they determine higher order Ext-groups. In particular, the Em-term of the Adams spectral sequence (m>2) is such a higher Ext-group, providing a new way of constructing its differentials.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hans-Joachim Baues, David Blanc,