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Han's conjecture for bounded extensions.
- Source :
-
Journal of Algebra . May2022, Vol. 598, p48-67. 20p. - Publication Year :
- 2022
-
Abstract
- Let B ⊂ A be a left or right bounded extension of finite dimensional algebras. We use the Jacobi-Zariski long nearly exact sequence to show that B satisfies Han's conjecture if and only if A does, regardless if the extension splits or not. We provide conditions ensuring that an extension by arrows and relations is left or right bounded. Finally we give a structure result for extensions of an algebra given by a quiver and admissible relations, and examples of non split left or right bounded extensions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LOGICAL prediction
*ALGEBRA
*FINITE, The
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 598
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 155494315
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2022.01.022