Results 21 to 30 of about 2,636,434 (156)

Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses [PDF]

Symmetry, Integrability and Geometry: Methods and Applications
The present article is devoted to studying the categorical relationships between the categories of Hopf trusses, weak twisted post-Hopf algebras, introduced by Wang (2023), and weak twisted relative Rota-Baxter operators. The latter objects are a generalisation of the relative Rota-Baxter operators defined by Li-Sheng-Tang (2024), where the Rota-Baxter
Fernández Vilaboa, José Manuel, González Rodríguez, Ramón, Ramos Pérez, Brais   +2 more
openaire   +6 more sources

Deformations and Homotopy Theory of Relative Rota-Baxter Lie Algebras [PDF]

, 2021
We determine the L∞-algebra that controls deformations of a relative Rota–Baxter Lie algebra and show that it is an extension of the dg Lie algebra controlling deformations of the underlying LieRep pair by the dg Lie algebra controlling deformations of ...
Tang, R., Andrey Lazarev, Sheng, Y., Lazarev, Andrey, Sheng, Yunhe, Lazarev, A. ; https://orcid.org/, Tang, Rong, Rong Tang, Yunhe Sheng   +8 more
core   +2 more sources

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
openaire   +2 more sources

The Classical Hom–Leibniz Yang–Baxter Equation and Hom–Leibniz Bialgebras

Mathematics, 2022
In this paper, we first introduce the notion of Hom–Leibniz bialgebras, which is equivalent to matched pairs of Hom–Leibniz algebras and Manin triples of Hom–Leibniz algebras.
Shuangjian Guo, Shengxiang Wang, Xiaohui Zhang   +2 more
doaj   +1 more source

Yetter-Drinfeld post-Hopf algebras and Yetter-Drinfeld relative Rota-Baxter operators [PDF]

Journal of Noncommutative Geometry
24 pages. Additional references. Proposition 3.1.5, Corollary 3.1.12, Proposition 3.1.13 and Example 4.1.3 have been added. Definition 4.0.2 and the proof of Lemma 4.0.5 have been modified.
Sciandra, Andrea
core   +7 more sources

Workplace support for newly qualified doctors and secondary school teachers: A comparative analysis

British Educational Research Journal, Volume 49, Issue 5, Page 1005-1043, October 2023., 2023
Abstract Doctors and teachers in their first year of practice face steep learning curves and increased stress, which can induce poor mental health, burnout and attrition. Informal workplace support from colleagues can help smooth transitions and aid professional development.
Helen Foster‐Collins, Karen Mattick, Vivienne Baumfield   +2 more
wiley   +1 more source

Closed reduction and surgical fixation of elbow joint luxation in an adult mare and in a 3‐month‐old foal using knotless bone anchors and FiberTape

Equine Veterinary Education, Volume 34, Issue 7, Page e274-e281, July 2022., 2022
Summary This report describes the successful surgical stabilisation of elbow joint luxation using knotless bone anchors and FiberTape to repair the medial collateral ligament in an 11‐year‐old mare (Case 1) and both medial and lateral collateral ligaments in a 3‐month‐old foal (Case 2).
G. Fridel, A. E. Fürst, A. Pozzi, F. Del Chicca, M. A. Jackson   +4 more
wiley   +1 more source

Relative Rota-Baxter groups and skew left braces [PDF]

, 2023
Relative Rota-Baxter groups are generalisations of Rota-Baxter groups and introduced recently in the context of Lie groups. In this paper, we explore connections of relative Rota-Baxter groups with skew left braces, which are well-known to give non ...
Rathee, Nishant, Singh, Mahender
core   +1 more source

Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]

, 2014
The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li, Zheng, Shanghua, Rosenkranz, Markus, Markus Rosenkranz, Shanghua Zheng, Li Guo   +5 more
core   +1 more source

Cohomology and relative Rota-Baxter-Nijenhuis structures on LieYRep pairs [PDF]

, 2022
A LieYRep pair consists of a Lie-Yamaguti algebra and its representation. In this paper, we establish the cohomology theory of LieYRep pairs and characterize their linear deformations by the second cohomology group.
Qiao, Yu, Zhao, Jia
core   +1 more source