Description
Metadata
Settings
About:
Rota-Baxter systems of T. Brzezi/'{n}ski are a generalization of Rota-Baxter operators that are related to dendriform structures, associative Yang-Baxter pairs and covariant bialgebras. In this paper, we consider Rota-Baxter systems in the presence of bimodule, which we call generalized Rota-Baxter systems. We define a graded Lie algebra whose Maurer-Cartan elements are generalized Rota-Baxter systems. This allows us to define a cohomology theory for a generalized Rota-Baxter system. Formal one-parameter deformations of generalized Rota-Baxter systems are discussed from cohomological points of view. We further study Rota-Baxter systems, associative Yang-Baxter pairs, covariant bialgebras and introduce generalized averaging systems that are related to associative dialgebras. Next, we define generalized Rota-Baxter systems in the homotopy context and find relations with homotopy dendriform algebras. The paper ends by considering commuting Rota-Baxter systems and their relation with quadri-algebras.
Permalink
an Entity references as follows:
Subject of Sentences In Document
Object of Sentences In Document
Explicit Coreferences
Implicit Coreferences
Graph IRI
Count
http://ns.inria.fr/covid19/graph/entityfishing
5
http://ns.inria.fr/covid19/graph/articles
3
Faceted Search & Find service v1.13.91
Alternative Linked Data Documents:
Sponger
|
ODE
Raw Data in:
CXML
|
CSV
| RDF (
N-Triples
N3/Turtle
JSON
XML
) | OData (
Atom
JSON
) | Microdata (
JSON
HTML
) |
JSON-LD
About
This work is licensed under a
Creative Commons Attribution-Share Alike 3.0 Unported License
.
OpenLink Virtuoso
version 07.20.3229 as of Jul 10 2020, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (94 GB total memory)
Copyright © 2009-2024 OpenLink Software