Results 21 to 30 of about 184 (133)
Splitting of Operads and Rota-Baxter Operators on Operads [PDF]
Applied Categorical Structures, 2016 This paper establishes a uniform procedure to split the operations in any algebraic operad, generalizing previous known notions of splitting algebraic structures from the dendriform algebra of Loday that splits the associative operation to the successors that split any binary operad.
Jun Pei, Chengming Bai, Li Guo 0003
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Splitting of Operations, Manin Products, and Rota–Baxter Operators [PDF]
International Mathematics Research Notices, 2012 33 ...
Bai, Chengming +3 more
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Rota–Baxter Operators on Pre-Lie Superalgebras [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2017 In this paper, we study Rota–Baxter operators and super O-operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and L-dendriform superalgebras. Then we give some properties of pre-Lie superalgebras constructed from associative superalgebras, Lie superalgebras and L-dendriform superalgebras. Moreover, we provide all Rota–Baxter
Abdaoui, El-Kadri +2 more
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Twisted algebras and Rota–Baxter type operators [PDF]
Journal of Algebra and Its Applications, 2017 We define the concept of weak pseudotwistor for an algebra [Formula: see text] in a monoidal category [Formula: see text], as a morphism [Formula: see text] in [Formula: see text], satisfying some axioms ensuring that [Formula: see text] is also an algebra in [Formula: see text].
Panaite, Florin, Van Oystaeyen, Freddy
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Rota-Baxter operators and Bernoulli polynomials [PDF]
Communications in Mathematics, 2021 Abstract 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 Bernoulli polynomials.
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Injective Rota–Baxter Operators of Weight Zero on F[x] [PDF]
Mediterranean Journal of Mathematics, 2021 Rota-Baxter operators present a natural generalisation of integration by parts formula for the integral operator. In 2015, Zheng, Guo, and Rosenkranz conjectured that every injective Rota-Baxter operator of weight zero on the polynomial algebra $\mathbb{R}[x]$ is a composition of the multiplication by a nonzero polynomial and a formal integration at ...
Vsevolod Gubarev, Alexander Perepechko
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Deformations of relative Rota–Baxter operators on Leibniz algebras [PDF]
International Journal of Geometric Methods in Modern Physics, 2020 In this paper, we introduce the cohomology theory of relative Rota–Baxter operators on Leibniz algebras. We use the cohomological approach to study linear and formal deformations of relative Rota–Baxter operators. In particular, the notion of Nijenhuis elements is introduced to characterize trivial linear deformations.
Rong Tang, Yunhe Sheng, Yanqiu Zhou
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Rota–Baxter operators on the polynomial algebra, integration, and averaging operators [PDF]
Pacific Journal of Mathematics, 2015 20 ...
Guo, Li +2 more
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Immediate and long‐term impact of the COVID‐19 pandemic on delivery of surgical services
BJS (British Journal of Surgery), Volume 107, Issue 10, Page 1250-1261, September 2020., 2020 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
Linking behavioral thermoregulation, boldness, and individual state in male Carpetan rock lizards
Ecology and Evolution, Volume 10, Issue 18, Page 10230-10241, September 2020., 2020 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