The Hochschild cohomology ring of monomial algebras.
Resumen:
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.
| 2024 | |
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Hochschild cohomology Cup product Monomial algebra Triangular algebra Diagonal map Bardzell resolution |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/47600 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC - By 4.0) |
