| Title:
|
Operads without coalgebras (English) |
| Author:
|
Lejay, Damien |
| Author:
|
Le Grignou, Brice |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
4 |
| Issue:
|
2 |
| Year:
|
2020 |
| Pages:
|
222-227 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give an example of a non-trivial linear operad that only admits trivial coalgebras and give sufficient conditions ensuring that the cofree coalgebra functor be faithful. (English) |
| Keyword:
|
operads |
| Keyword:
|
coalgebras |
| Keyword:
|
cogebras |
| MSC:
|
18D50 |
| idZBL:
|
Zbl 1469.18026 |
| idMR:
|
MR4133169 |
| DOI:
|
10.21136/HS.2020.15 |
| . |
| Date available:
|
2026-03-12T13:56:24Z |
| Last updated:
|
2026-03-12 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153431 |
| . |
| Reference:
|
[1] Anel, Mathieu: Cofree coalgebras over operads and representative functions, September 2014..Arxiv1409.4688 |
| Reference:
|
[2] Joyal, André: Foncteurs analytiques et espèces de structures..In Gilbert Labelle and Pierre Leroux, editors, Combinatoire énumérative, pages 126–159, Berlin, Heidelberg. Springer Berlin Heidelberg |
| Reference:
|
[3] May, J. Peter: Operads, algebras and modules..In James Stasheff Jean-Louis Loday and Alexander Voronov, editors, Operads: Proceedings of Renaissance Conferences, volume 202, pages 15–31. American Mathematical Society |
| . |
