Results 31 to 40 of about 184 (133)

ROTA–BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS [PDF]

Journal of Algebra and Its Applications, 2009
An important instance of Rota–Baxter algebras from their quantum field theory application is the ring of Laurent series with a suitable projection. We view the ring of Laurent series as a special case of generalized power series rings with exponents in an ordered monoid.
Guo, Li, Liu, Zhongkui
openaire   +3 more sources

Matching Hom‐Setting of Rota‐Baxter Algebras, Dendriform Algebras, and Pre‐Lie Algebras

Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020
In this paper, we introduce the Hom‐algebra setting of the notions of matching Rota‐Baxter algebras, matching (tri)dendriform algebras, and matching pre‐Lie algebras. Moreover, we study the properties and relationships between categories of these matching Hom‐algebraic structures.
Dan Chen, Xiao-Song Peng, Chia Zargeh, Yi Zhang, Yao-Zhong Zhang   +4 more
wiley   +1 more source

Homotopy Rota–Baxter operators and post-Lie algebras

Journal of Noncommutative Geometry, 2023
Rota–Baxter operators and the more general \mathcal{O} -operators, together with their interconnected pre-Lie and post-Lie algebras, are important algebraic structures, with Rota–Baxter operators and pre-Lie algebras instrumental in the Connes ...
Rong Tang, Chengming Bai, Li Guo, Yunhe Sheng   +3 more
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Rota–Baxter operators on a sum of fields [PDF]

Journal of Algebra and Its Applications, 2019
We count the number of all Rota–Baxter operators (RB-operators) on a finite direct sum [Formula: see text] of fields and count all of them up to conjugation with an automorphism. We also study RB-operators on [Formula: see text] corresponding to a decomposition of [Formula: see text] into a direct vector space sum of two subalgebras. We show that every
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Rota–Baxter operators on Witt and Virasoro algebras

Journal of Geometry and Physics, 2016
The homogeneous Rota-Baxter operators on the Witt and Virasoro algebras are classified. As applications, the induced solutions of the classical Yang-Baxter equation and the induced pre-Lie and PostLie algebra structures are obtained.
Xu Gao, Ming Liu, Chengming Bai, Naihuan Jing   +3 more
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Cohomology and deformations of weighted Rota–Baxter operators

Journal of Mathematical Physics, 2022
Weighted Rota–Baxter operators on associative algebras are closely related to modified Yang–Baxter equations, splitting of algebras, and weighted infinitesimal bialgebras and play an important role in mathematical physics. For any λ ∈ k, we construct a differential graded Lie algebra whose Maurer–Cartan elements are given by λ-weighted relative Rota ...
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Deformations of associative Rota-Baxter operators [PDF]

Journal of Algebra, 2020
Rota-Baxter operators and more generally $\mathcal{O}$-operators on associative algebras are important in probability, combinatorics, associative Yang-Baxter equation and splitting of algebras. Using a method of Uchino, we construct an explicit graded Lie algebra whose Maurer-Cartan elements are given by $\mathcal{O}$-operators.
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Rota-Baxter operators on cocommutative Hopf algebras [PDF]

Journal of Algebra, 2021
We generalize the notion of a Rota-Baxter operator on groups and the notion of a Rota-Baxter operator of weight 1 on Lie algebras and define and study the notion of a Rota-Baxter operator on a cocommutative Hopf algebra $H$. If $H=F[G]$ is the group algebra of a group $G$ or $H=U(\mathfrak{g})$ the universal enveloping algebra of a Lie algebra ...
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Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras

Extracta Mathematicae, 2022
The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras.
T. Chtioui, S. Mabrouk, A. Makhlouf
doaj  

Time to endoscopy for acute upper gastrointestinal bleeding: Results from a prospective multicentre trainee‐led audit

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, James Hodson, Richard Ingram, Andrew Baxter, Monika M Widlak, Caroline Sharratt, Graham M Baker, Tom Troth, Ben Hicken, Faraz Tahir, Malik Magrabi, Nouman Yousaf, Claire Grant, Dennis Poon, Hesham Khalil, Hui Lin Lee, Jonathan R White, Huey Tan, Syazeddy Samani, Patricia Hooper, Saeed Ahmed, Muhammad Amin, Sara Mahgoub, Khayal Asghar, Farique Leet, Matthew J Harborne, Beata Polewiczowska, Sheeba Khan, Muhammad R Anjum, Michael McFarlane, Ella Mozdiak, Lauren D O'Flynn, Ilona C Blee, Rachel M Molyneux, Ashok Kurian, Syed N Abbas, Abdullah Abbasi, Aadil Karim, Asif Yasin, Fawad Khattak, Josephine White, Ruhina Ahmed, James A Morgan, Lance Alleyne, Mohamed A Alam, Naaventhan Palaniyappan, Victoria J Rodger, Paramvir Sawhney, Nasar Aslam, Theodore Okeke, Adam Lawson, Danny Cheung, Jeremy P Reid, Ashish Awasthi, Mark R Anderson, Joe R Timothy, Sanjeev Pattni, Saqib Ahmad, Gillian Townson, Jeremy Shearman, Vanja Giljaca, Matthew J Brookes, Ben R Disney, Neil Guha, Titus Thomas, Anthony Norman, Peter Wurm, Ashit Shah, Neil C Fisher, Sauid Ishaq, Giles Major   +70 more
wiley   +1 more source