Rota–Baxter systems, dendriform algebras and covariant bialgebras [PDF]
, 2016 A generalisation of the notion of a Rota-Baxter operator is proposed. This generalisation consists of two operators acting on an associative algebra and satisfying equations similar to the Rota-Baxter equation.
Tomasz Brzezinski
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Representations and relative Rota-Baxter operators of Hom-Leibniz-Poisson algebras
Algebra and Discrete MathematicsRepresentations and relative Rota-Baxter operators with respect to representations of Hom-Leibniz Poisson algebras are introduced and studied. Some characterizations of these operators are obtained. The notion of matched pair and Nijenhuis operators of Hom-Leibniz Poisson algebras are given and various relevant constructions of these Hom-algebras are ...
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23rd Congress of the European Hematology Association Stockholm, Sweden, June 14‐17, 2018
, 2018 HemaSphere, Volume 2, Issue S1, Page 1-1113, June 2018.
wiley +1 more source
Cistracurium Besylate 10 mg/mL Solution Compounded in a Hospital Pharmacy to Prevent Drug Shortages: A Stability Study Involving Four Degradation Products. [PDF]
Pharmaceutics, 2023 Roche M +7 more
europepmc +1 more source
Anti-pre-Poisson bialgebras and relative Rota-Baxter operators
Abstract. In this paper, we first introduce the notion of an anti-pre-Poisson bialgebra, which is shown to be equivalent to both quadratic anti-pre-Poisson algebras and matched pairs of Poisson algebras. The study of coboundary anti-pre-Poisson bialgebras leads to the anti-prePoisson Yang-Baxter equation (APP-YBE).
Qinxiu Sun, Min Wu
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Rota-Baxter TD Algebra and Quinquedendriform Algebra
, 2017 A dendriform algebra defined by Loday has two binary operations that give a two-part splitting of the associativity in the sense that their sum is associative.
Li Guo, Shuyun Zhou
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Noncommutative pre-Poisson bialgebras and relative Rota-Baxter operators
34pages
Li, Hongliang, Sun, Qinxiu
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Cohomologies and linear deformations of relative Rota–Baxter operators on pre-Jacobi–Jordan algebras
Acta et Commentationes Universitatis Tartuensis de MathematicaThe cohomology theory of relative Rota–Baxter operators on pre-Jacobi–Jordan algebras is introduced. The cohomological approach is used to study linear deformations of relative Rota–Baxter operators. In particular, the notion of Nijenhuis elements is introduced to characterize trivial linear deformations
Sylvain ATTAN, Nabil ORO DJIBRIL
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2.5-mm articulated endoluminal forceps using a compliant mechanism. [PDF]
Int J Comput Assist Radiol Surg, 2023 Osawa K +6 more
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Rota–Baxter Operators on Pre-Lie Superalgebras
, 2017 International audienceIn this paper, we study Rota–Baxter operators and super O-operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and L-dendriform superalgebras.
Abdenacer Makhlouf +5 more
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