Results 41 to 50 of about 2,636,434 (156)
Cohomology and deformations of Relative Rota-Baxter operators on Lie-Yamaguti algebras [PDF]
In this paper, we establish the cohomology of relative Rota-Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then we use this type of cohomology to characterize deformations of relative Rota-Baxter operators on Lie-Yamaguti algebras.
Qiao, Yu, Zhao, Jia
core
Cohomology, deformations and extensions of Rota-Baxter Leibniz algebras [PDF]
A Rota-Baxter Leibniz algebra is a Leibniz algebra $(\mathfrak{g},[~,~]_{\mathfrak{g}})$ equipped with a Rota-Baxter operator $T : \mathfrak{g} \rightarrow \mathfrak{g}$.
Saha, Ripan +3 more
core +1 more source
Deformations of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras
Representations of Hom-Jacobi-Jordan algebras are studied. In particular, adjoint representations and trivial representations are studied in detail. Derivations and central extensions of Hom-Jacobi-Jordan algebras are also discussed as an application.
Anitheou, Jules +2 more
openaire +2 more sources
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
wiley +1 more source
Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalı(A,∙), R halkası üzerinde bir cebir olsun. P:A→A lineer dönüşümü bir λ ∈ R ve her x,y ∈A için P(x)∙P(y)=P(P(x)∙y)+P(x∙P(y) )+λP(x∙y) koşulu sağlanıyorsa A ya λ ağırlıklı Rota-Baxter cebiri ve P ye de Rota ...
Tor, Seden Betül
core
Cohomology and Extensions of Relative Rota-Baxter groups [PDF]
Relative Rota-Baxter groups are generalisations of Rota-Baxter groups and recently shown to be intimately related to skew left braces, which are well-known to yield bijective non-degenerate solutions to the Yang-Baxter equation. In this paper, we develop
Rathee, Nishant +2 more
core
Rota‐Baxter Operators on 3‐Dimensional Lie Algebras and the Classical R‐Matrices
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
wiley +1 more source
Twisting theory, relative Rota-Baxter type operators and L∞-algebras on Lie conformal algebras
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Lamei Yuan, Jiefeng Liu
openaire +2 more sources
The Pivotal Role of Phosphorus in a Resilient Water–Energy–Food Security Nexus
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
Cohomology and deformations of weighted Rota-Baxter operators [PDF]
Weighted Rota-Baxter operators on associative algebras are closely related to modified Yang-Baxter equations, splitting of algebras, weighted infinitesimal bialgebras, and play an important role in mathematical physics.
Das, Apurba
core +1 more source

