n-ary associative algebras, cohomology, free algebras and coalgebras
| dc.creator | Goze, Nicolas | |
| dc.creator | Remm, Elisabeth | |
| dc.date | 2008-03-04 | |
| dc.date | 2008-10-25 | |
| dc.date.accessioned | 2026-07-07T10:12:46Z | |
| dc.date.available | 2026-07-07T10:12:46Z | |
| dc.description | When $n$ is odd, a cohomology of type Hochschild for $n$-ary partially associative algebras has been defined in Gnedbaye's thesis. Unfortunately, the cohomology definition is not valid when $n$ is even. This fact is found again in the computations of the $n$-ary partially associative free algebra. In this work, we define in a first time two approachs of an Hochschild cohomology for $n$-ary partially associative algebras. First by reducing the space of cochains, secondly by using a graded version. Next we compute the free $n$-ary algebra, giving a basis of this algebra. At last we extend the notion of coalgebras to $n$-ary algebras. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0803.0553 | |
| dc.identifier | http://arxiv.org/abs/0803.0553 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172293 | |
| dc.subject | Rings and Algebras | |
| dc.title | n-ary associative algebras, cohomology, free algebras and coalgebras | |
| dc.type | text |