Curved O-operator systems

Fuente: arXiv
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Autores principales: Ma, Tianshui, Makhlouf, Abdenacer, Silvestrov, Sergei
Formato: Preprint
Publicado: 2017
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author Ma, Tianshui
Makhlouf, Abdenacer
Silvestrov, Sergei
author_facet Ma, Tianshui
Makhlouf, Abdenacer
Silvestrov, Sergei
contents In this paper, we introduce the notion of curved $\mathcal{O}$-operator systems as a generalization of T. Brzeziński's (curved) Rota-Baxter systems, and then investigate their relations with $\mathcal{O}$-operator systems, (tri)dendriform systems, pre-Lie algebras, associative Yang-Baxter pairs and quasitriangular covariant bialgebras.
format Preprint
id arxiv_https___arxiv_org_abs_1710_05232
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle Curved O-operator systems
Ma, Tianshui
Makhlouf, Abdenacer
Silvestrov, Sergei
Rings and Algebras
16T05, 16T25, 16W99
In this paper, we introduce the notion of curved $\mathcal{O}$-operator systems as a generalization of T. Brzeziński's (curved) Rota-Baxter systems, and then investigate their relations with $\mathcal{O}$-operator systems, (tri)dendriform systems, pre-Lie algebras, associative Yang-Baxter pairs and quasitriangular covariant bialgebras.
title Curved O-operator systems
topic Rings and Algebras
16T05, 16T25, 16W99
url https://arxiv.org/abs/1710.05232