Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497215 | Journal of Pure and Applied Algebra | 2005 | 34 Pages |
Abstract
We define the cohomology categorical groups of a complex of symmetric categorical groups, and we construct a long 2-exact sequence from an extension of complexes. As special cases, we obtain Ulbrich cohomology of Picard categories and the Hattori-Villamayor-Zelinsky sequences associated with a ring homomorphism. Applications to simplicial cohomology with coefficients in a symmetric categorical group, and to derivations of categorical groups are also discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. del RÃo, J. MartÃnez-Moreno, E.M. Vitale,