Nearly Frobenius dimension on Frobenius algebras.
Resumen:
This article is divided into two parts. In the first part we work over a field k and prove that the Frobenius space associated to a Frobenius algebra is generated as left A-module by the Frobenius coproduct. In particular, we prove that the Frobenius dimension coincides with the dimension of the algebra. In the second part we work with a commutative ring k. We introduce the concept of nearly Frobenius algebras in this context and construct solutions of the Yang-Baxter equation starting from elements in the Frobenius space. Also, we give a list of equivalent characterizations of nearly Frobenius algebras.
| 2020 | |
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Representation Theory Rings and Algebras |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
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https://arxiv.org/abs/2011.09790
https://hdl.handle.net/20.500.12008/47558 |
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| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
