Results 51 to 60 of about 2,636,434 (156)
Evidence-Based Complementary and Alternative Medicine, Volume 2012, Issue 1, 2012., 2012 Cold allodynia is an important distinctive feature of neuropathic pain. The present study examined whether single or repetitive treatment of diluted bee venom (DBV) reduced cold allodynia in sciatic nerve chronic constriction injury (CCI) rats and whether these effects were mediated by spinal adrenergic receptors.
Suk-Yun Kang +5 more
wiley +1 more source
Construction of Nijenhuis operators and dendriform trialgebras
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 49, Page 2595-2615, 2004., 2004 We construct Nijenhuis operators from particular bialgebras called dendriform‐Nijenhuis bialgebras. It turns out that such Nijenhuis operators commute with TD‐operators, a kind of Baxter‐Rota operators, and are therefore closely related to dendriform trialgebras. This allows the construction of associative algebras, called dendriform‐Nijenhuis algebras,
Philippe Leroux
wiley +1 more source
Twisted relative Rota-Baxter operators on Leibniz algebras and NS-Leibniz algebras
, 2021 19pages
Das, Apurba, Guo, Shuangjian
openaire +2 more sources
An algebraic framework of weighted directed graphs
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 58, Page 3657-3678, 2003., 2003 We show that an algebraic formulation of weighted directed graphs leads to introducing a k‐vector space equipped with two coproducts Δ and Δ˜ verifying the so‐called coassociativity breaking equation (Δ˜⊗id)Δ=(id⊗Δ)Δ˜. Such a space is called an L‐coalgebra.
Philippe Leroux
wiley +1 more source
Rota–Baxter Operators on Cocommutative Weak Hopf Algebras
, 2021 In this paper, we first introduce the concept of a Rota–Baxter operator on a cocommutative weak Hopf algebra H and give some examples. We then construct Rota–Baxter operators from the normalized integral, antipode, and target map of H.
Zhongwei Wang +3 more
core +1 more source
Relative Rota-Baxter operators on a Jordan algebra with a representation and related structures
Quasigroups and Related SystemsThe purpose of this paper is to study O-(dual-) Nijenhuis structures on a Jordan algebra with a representation. The notion of a (dual-)Nijenhuis pair is introduced and it can generate a trivial deformation of a Jordan algebra with representation.
Chtioui, Taoufik +2 more
openaire +2 more sources
, 2019 International audienceWe introduce the concept of a {σ,τ}-Rota–Baxter operator, as a twisted version of a Rota–Baxter operator of weight zero. We show how to obtain a certain {σ,τ}-Rota–Baxter operator from a solution of the associative (Bi)Hom-Yang ...
Liu, Ling +3 more
core +2 more sources
On differential Rota–Baxter algebras [PDF]
, 2008 A Rota–Baxter operator of weight λ is an abstraction of both the integral operator (when λ=0) and the summation operator (when λ=1). We similarly define a differential operator of weight λ that includes both the differential operator (when λ=0) and the ...
Guo, Li, Keigher, William
core +1 more source
Abstract Book: 25th Congress of the European Hematology Association Virtual Edition, 2020
, 2020 HemaSphere, Volume 4, Issue S1, Page 1-1168, June 2020.
wiley +1 more source
Leibniz-dendriform bialgebras and relative Rota-Baxter operators
In this paper, we introduce the notion of Leibniz-dendriform bialgebras and establish their equivalence with phase spaces and matched pairs of Leibniz algebras. The study of the coboundary case leads naturally to the Leibniz-dendriform Yang-Baxter equation (LD-YBE).
Sun, Qinxiu, Guo, Shuangjian
openaire +2 more sources