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The first Hochschild (co)homology when adding arrows to a bound quiver algebra.
- Source :
-
Journal of Algebra . Dec2019, Vol. 540, p63-77. 15p. - Publication Year :
- 2019
-
Abstract
- We provide a formula for the change of the dimension of the first Hochschild cohomology vector space of bound quiver algebras when adding new arrows. For this purpose we show that there exists a short exact sequence which relates the first cohomology vector spaces of the algebras to the first relative cohomology. Moreover, we show that the first Hochschild homologies are isomorphic when adding new arrows. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VECTOR algebra
*HOMOLOGY (Biology)
*ALGEBRA
*COHOMOLOGY theory
*VECTOR spaces
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 540
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 139240431
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2019.08.029