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United European Gastroenterology Journal, Volume 7, Issue 2, Page 199-209, March 2019., 2019 Background Endoscopy within 24 h of admission (early endoscopy) is a quality standard in acute upper gastrointestinal bleeding (AUGIB). We aimed to audit time to endoscopy outcomes and identify factors affecting delayed endoscopy (>24 h of admission).
Keith Siau +70 more
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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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Skew braces from Rota-Baxter operators: A cohomological characterisation and some examples [PDF]
, 2022 Rota-Baxter operators for groups were recently introduced by L. Guo, H. Lang, and Y. Sheng. V. G. Bardakov and V. Gubarev showed that with each Rota-Baxter operator one can associate a skew brace.
Caranti, A. +3 more
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Rota‐Baxter Operators on 3‐Dimensional Lie Algebras and the Classical R‐Matrices
Advances in Mathematical Physics, Volume 2017, Issue 1, 2017., 2017 Our aim is to classify the Rota‐Baxter operators of weight 0 on the 3‐dimensional Lie algebra whose derived algebra’s dimension is 2. We explicitly determine all Rota‐Baxter operators (of weight zero) on the 3‐dimensional Lie algebras g. Furthermore, we give the corresponding solutions of the classical Yang‐Baxter equation in the 6‐dimensional Lie ...
Linli Wu +3 more
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Rota-Baxter Operators of Weight Zero on CayleyDickson Algebra with Matrix Images
Известия Иркутского государственного университета: Серия "Математика"Rota-Baxter operators present a natural generalization of integration by parts formula for the integral operator. We consider Rota-Baxter operators of weight zero on split octonion algebra over a field of characteristic not 2.
A. S. Panasenko
doaj +1 more source
Post-Hopf algebras, relative Rota-Baxter operators and solutions of the Yang-Baxter equation [PDF]
, 2022 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 theory and cohomology of relative Rota-Baxter operators [PDF]
, 2022 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
The Pivotal Role of Phosphorus in a Resilient Water–Energy–Food Security Nexus
Journal of Environmental Quality, Volume 44, Issue 4, Page 1049-1062, July-August 2015., 2015 We make the case that phosphorus (P) is inextricably linked to an increasingly fragile, interconnected, and interdependent nexus of water, energy, and food security and should be managed accordingly. Although there are many other drivers that influence water, energy, and food security, P plays a unique and under‐recognized role within the nexus.
Helen P. Jarvie +5 more
wiley +1 more source
Some Results on Zinbiel Algebras and Rota–Baxter Operators
AxiomsRota–Baxter operators (RBOs) play a substantial role in many subfields of mathematics, especially in mathematical physics. In the article, RBOs on Zinbiel algebras (ZAs) and their sub-adjacent algebras are first investigated.
Jizhong Gao, Junna Ni, Jianhua Yu
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Hom‐O‐Operators and Hom‐Yang‐Baxter Equations
Advances in Mathematical Physics, Volume 2015, Issue 1, 2015., 2015 In Hom‐Lie set, we introduce the concept of Hom‐O‐operators and study its relation with classical Hom‐Yang‐Baxter equation, as well as left‐symmetric Hom‐algebras. We construct the corresponding relation between left‐symmetric Hom‐algebras and Hom‐1‐cocycles, which are both related to classical Hom‐Yang‐Baxter equation. Moreover, in Hom‐algebra setting,
Yuanyuan Chen +2 more
wiley +1 more source