Facebook Instagram Twitter RSS Feed PodBean Back to top on side

Cleft extensions for quasi-entwining structures

In: Mathematica Slovaca, vol. 68, no. 2
J. N. Alonso Álvarez - J. M. Fernández Vilaboa - R. González Rodríguez
Detaily:
Rok, strany: 2018, 339 - 352
Kľúčové slová:
monoidal category, magma, Hopf (co)quasigroup, quasi-entwining structure, cleft extension
O článku:
In this paper we introduce the notions of quasi-entwining structure and cleft extension for a quasi-entwining structure. We prove that if $(A,C, ψ)$ is a quasi-entwining structure and the associated extension to the submagma of coinvariants $AC$ is cleft, there exists an isomorphism $ωA$ between $AC\ot C$ and $A$. Moreover, we define two unital but not necessarily associative products on $AC\ot C$. For these structures we obtain the necessary and sufficient conditions to assure that $ωA$ is a magma isomorphism, giving some examples fulfilling these conditions.
Ako citovať:
ISO 690:
Álvarez, J., Vilaboa, J., Rodríguez, R. 2018. Cleft extensions for quasi-entwining structures. In Mathematica Slovaca, vol. 68, no.2, pp. 339-352. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0105

APA:
Álvarez, J., Vilaboa, J., Rodríguez, R. (2018). Cleft extensions for quasi-entwining structures. Mathematica Slovaca, 68(2), 339-352. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0105
O vydaní: