| Title |
|
|
|
Deformation theory of abelian categories
|
|
| Author |
|
|
|
|
|
| Abstract |
|
|
|
| In this paper we develop the basic infinitesimal deformation theory of abelian categories. This theory yields a natural generalization of the well-known deformation theory of algebras developed by Gerstenhaber. As part of our deformation theory we define a notion of flatness for abelian categories. We show that various basic properties are preserved under flat deformations, and we construct several equivalences between deformation problems. | |
|
| Language |
|
|
|
English
|
|
| Source (journal) |
|
|
|
Transactions of the American Mathematical Society. - Providence, R.I. |
|
| Publication |
|
|
|
Providence, R.I. : 2006
|
|
| ISSN |
|
|
|
0002-9947 [Print]
1088-6850 [Online]
|
|
| Volume/pages |
|
|
|
358:12(2006), p. 5441-5483
|
|
| ISI |
|
|
|
000242401400010
|
|
| Full text (Publishers DOI) |
|
|
| |
|
| Full text (open access) |
|
|
| |
|