Immediate and long‐term impact of the COVID‐19 pandemic on delivery of surgical services
Surgical services are adapting to mitigate the surge in patients with COVID‐19 in need of critical care support. All non‐essential elective surgery has been cancelled, or is pending cancellation, in healthcare systems around the globe, impacting millions of patients.
K. Søreide +14 more
wiley +1 more source
Post-Hopf algebras, relative Rota–Baxter operators and solutions to the Yang–Baxter equation
In this paper, first, we introduce the notion of post-Hopf algebra, which gives rise to a post-Lie algebra on the space of primitive elements and the fact that there is naturally a post-Hopf algebra structure on the universal enveloping algebra of a post-Lie algebra. A novel property is that a cocommutative post-Hopf algebra gives rise to a generalized
Yunnan Li, Yunhe Sheng, Rong Tang
openaire +3 more sources
Linking behavioral thermoregulation, boldness, and individual state in male Carpetan rock lizards
Body temperature is a major ecophysiological variable in poikilotherms with a direct link to a variety of fitness‐related traits. As most poikilotherms are capable of maintaining relatively high and constant body temperatures by behavioural adjustments, we tested whether behavioural thermoregulatory strategy are linked to boldness and individual state ...
Gergely Horváth +5 more
wiley +1 more source
Free integro-differential algebras and Groebner-Shirshov bases [PDF]
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li +5 more
core +1 more source
Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras
In this paper, first we introduce the notion of a quadratic Lie-Yamaguti algebra and show that the invariant bilinear form in a quadratic Lie-Yamaguti algebra induces an isomorphism between the adjoint representation and the coadjoint representation. Then we introduce the notions of relative Rota-Baxter operators on Lie-Yamaguti algebras and pre-Lie ...
Sheng, Yunhe, Zhao, Jia
openaire +2 more sources
Lie theory and cohomology of relative Rota-Baxter operators [PDF]
In this paper, we establish a local Lie theory for relative Rota-Baxter operators of weight $1$. First we recall the category of relative Rota-Baxter operators of weight $1$ on Lie algebras and construct a cohomology theory for them.
Sheng, Yunhe, Jiang, Jun, Zhu, Chenchang
core
Rota-Baxter operators and Bernoulli polynomials [PDF]
summary:We develop the connection between Rota-Baxter operators arisen from algebra and mathematical physics and Bernoulli polynomials. We state that a trivial property of Rota-Baxter operators implies the symmetry of the power sum polynomials and ...
Gubarev, Vsevolod
core +1 more source
Post-Hopf algebras, relative Rota-Baxter operators and solutions of the Yang-Baxter equation [PDF]
In this paper, first we introduce the notion of a post-Hopf algebra, which gives rise to a post-Lie algebra on the space of primitive elements and there is naturally a post-Hopf algebra structure on the universal enveloping algebra of a post-Lie algebra.
Li, Yunnan, Sheng, Yunhe, Tang, Rong
core
Lie n-algebras and cohomologies of relative Rota-Baxter operators on n-Lie algebras
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Ming Chen, Jiefeng Liu, Yao Ma
openaire +2 more sources
Bimodules over relative Rota-Baxter algebras and cohomologies [PDF]
A relative Rota-Baxter algebra is a generalization of a Rota-Baxter algebra. Relative Rota-Baxter algebras are closely related to dendriform algebras.
Das, Apurba, Mishra, Satyendra Kumar
core

