Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12008/47600
How to cite
| Title: | The Hochschild cohomology ring of monomial algebras. |
| Authors: | Artenstein, Dalia Letz, Janina C. Oswald, Amrei Solotar, Andrea |
| Type: | Preprint |
| Keywords: | Hochschild cohomology, Cup product, Monomial algebra, Triangular algebra, Diagonal map, Bardzell resolution |
| Issue Date: | 2024 |
| Abstract: | We give an explicit description of a diagonal map on the Bardzell resolution for any monomial algebra, and we use this diagonal map to describe the cup product on Hochschild cohomology. Then, we prove that the cup product is zero in positive degrees for triangular monomial algebras. Our proof uses the graded-commutativity of the cup product on Hochschild cohomology and does not rely on explicit computation of the Hochschild cohomology modules. |
| Description: | También publicado en Journal of Algebra, vol. 654, sep. 2024, pp. 108-131. DOI : 10.1016/j.jalgebra.2024.04.019. |
| Publisher: | arXiv |
| IN: | Mathematics. Representation Theory (math.RT), arXiv:2312.14699v2, may. 2024, pp. 1-20. |
| Citation: | Artenstein, D., Letz, J., Oswald, A. y otros. The Hochschild cohomology ring of monomial algebras. [Preprint]. Publicado en: Mathematics. Representation Theory (math.RT), 2024, pp. 1-20. arXiv:2312.14699v2. DOI: 10.48550/arXiv.2312.14699. |
| License: | Licencia Creative Commons Atribución (CC - By 4.0) |
| Appears in Collections: | Publicaciones académicas y científicas - IMERL (Instituto de Matemática y Estadística Rafael Laguardia) |
Files in This Item:
| File | Description | Size | Format | ||
|---|---|---|---|---|---|
| ALOS24.pdf | Preprint | 272,32 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License
