Results 41 to 50 of about 95 (92)
Intuitionistic Fuzzy Subbialgebras and Duality
Journal of Applied Mathematics, 2014 We investigate connections between bialgebras and Atanassov’s intuitionistic fuzzy sets. Firstly we define an intuitionistic fuzzy subbialgebra of a bialgebra with an intuitionistic fuzzy subalgebra structure and also with an intuitionistic fuzzy ...
Wenjuan Chen, Bijan Davvaz
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Tubings, chord diagrams, and Dyson–Schwinger equations
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We give series solutions to single insertion place propagator‐type systems of Dyson–Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially transparent in the sense that each tubing has a straightforward contribution.
Paul‐Hermann Balduf +5 more
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Physical constraints on quantum deformations of spacetime symmetries
Nuclear Physics B, 2018 In this work we study the deformations into Lie bialgebras of the three relativistic Lie algebras: de Sitter, Anti-de Sitter and Poincaré, which describe the symmetries of the three maximally symmetric spacetimes. These algebras represent the centerpiece
Flavio Mercati, Matteo Sergola
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Novel non‐involutive solutions of the Yang–Baxter equation from (skew) braces
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract We produce novel non‐involutive solutions of the Yang–Baxter equation coming from (skew) braces. These solutions are generalisations of the known ones coming from braces and skew braces, and surprisingly in the case of braces, they are not necessarily involutive.
Anastasia Doikou, Bernard Rybołowicz
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Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory
MathematicsA left-Alia algebra is a vector space together with a bilinear map satisfying the symmetric Jacobi identity. Motivated by invariant theory, we first construct a class of left-Alia algebras induced by twisted derivations. Then, we introduce the notions of
Chuangchuang Kang +3 more
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Rota-Baxter Leibniz Algebras and Their Constructions
Advances in Mathematical Physics, 2018 In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characterizations of Rota-Baxter Leibniz algebras. And we construct a number of Rota-Baxter Leibniz algebras from Leibniz algebras and associative algebras and ...
Liangyun Zhang, Linhan Li, Huihui Zheng
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Quasitriangular structure and twisting of the 3D bicrossproduct model
Journal of High Energy Physics, 2018 We show that the bicrossproduct model C[SU 2∗] ▶ ◁ U (su 2) quantum Poincaré group in 2+1 dimensions acting on the quantum spacetime [x i , t] = ıλx i is related by a Drinfeld and module-algebra twist to the quantum double U (su 2)⊲
S. Majid, P. K. Osei
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Near braces and p$p$‐deformed braided groups
Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 124-139, January 2024.Abstract Motivated by recent findings on the derivation of parametric noninvolutive solutions of the Yang–Baxter equation, we reconstruct the underlying algebraic structures, called near braces. Using the notion of the near braces we produce new multi‐parametric, nondegenerate, noninvolutive solutions of the set‐theoretic Yang–Baxter equation.
Anastasia Doikou, Bernard Rybołowicz
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Equivariant resolutions over Veronese rings
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract Working in a polynomial ring S=k[x1,…,xn]$S={\mathbf {k}}[x_1,\ldots ,x_n]$, where k${\mathbf {k}}$ is an arbitrary commutative ring with 1, we consider the d$d$th Veronese subalgebras R=S(d)$R={S^{(d)}}$, as well as natural R$R$‐submodules M=S(⩾r,d)$M={S^{({\geqslant r},{d})}}$ inside S$S$.
Ayah Almousa +4 more
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پژوهشهای ریاضی, 2020 Introduction Over a commutative ring k, it is well known from the classical module theory that the tensor-endofunctor of is left adjoint to the Hom-endofunctor. The unit and counit of this adjunction is obtained trivially.
Saeid Bagheri
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