Results 131 to 140 of about 12,517 (163)
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Weak Hopf Quivers, Clifford Monoids and Weak Hopf Algebras
Arabian Journal for Science and Engineering, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmed, Munir, Li, Fang
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Acta Mathematica Sinica, English Series, 2008
Selfdual locally finite graded Hopf algebras were introduced by \textit{H.-L. Huang, L. Li} and \textit{Y. Ye} [Commun. Algebra 33, No. 12, 4505-4514 (2005; Zbl 1087.16025)]. The aim of this paper is to generalize results about selfdual locally finite graded Hopf algebras and related topics to the context of weak Hopf algebras. By a weak Hopf algebras,
Ahmed, Munir, Li, Fang
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Selfdual locally finite graded Hopf algebras were introduced by \textit{H.-L. Huang, L. Li} and \textit{Y. Ye} [Commun. Algebra 33, No. 12, 4505-4514 (2005; Zbl 1087.16025)]. The aim of this paper is to generalize results about selfdual locally finite graded Hopf algebras and related topics to the context of weak Hopf algebras. By a weak Hopf algebras,
Ahmed, Munir, Li, Fang
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Automorphism group of green algebra of weak Hopf algebra corresponding to Sweedler Hopf algebra
Czechoslovak Mathematical Journal, 2022The authors consider the ring \(A=\mathbb{Z}[x,y,z]/(x^2-1,y^2-xy-y,xz-z,yz-2z,z^2-z)\), which is proved in \textit{D. Su} and \textit{S. Yang} [Period. Math. Hung. 76, No. 2, 229--242 (2018; Zbl 1399.16085)] to be the Green ring of a certain weak Hopf algebra constructed from Sweedler's 4-dimensional Hopf algebra.
Cao, Liufeng, Su, Dong, Yao, Hua
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Indiana University Mathematics Journal, 2008
In this paper we give an introduction to the theory of weak braided Hopf algebras proposed as a braided version of weak Hopf algebras. Also, we obtain the fundamental theorem of Hopf modules for these algebraic structures.
J. N. Alonso Alvarez +2 more
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In this paper we give an introduction to the theory of weak braided Hopf algebras proposed as a braided version of weak Hopf algebras. Also, we obtain the fundamental theorem of Hopf modules for these algebraic structures.
J. N. Alonso Alvarez +2 more
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Pseudotriangular weak Hopf algebras
Journal of Algebra and Its Applications, 2016In this paper, in looking for the weak Hopf algebraic counterpart of pseudosymmetric braidings, we introduce the concept of a pseudotriangular weak Hopf algebra, which is a quasitriangular weak Hopf algebra satisfying an extra condition. Then, we investigate the question, when a quasitriangular weak Hopf algebra is pseudotriangular.
Zhao, Xiaofan +2 more
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Twisting theory for weak Hopf algebras
Applied Mathematics-A Journal of Chinese Universities, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Juzhen +2 more
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Projections of weak braided Hopf algebras
Science China Mathematics, 2011In the paper under review, the authors generalize the results of \textit{D. E. Radford} [J. Algebra 92, 322-347 (1985; Zbl 0549.16003)] on projections of Hopf algebras and of \textit{J. N. Alonso Álvarez, R. González Rodríguez, J. M. Fernández Vilaboa, M. P. López López} and \textit{E. Villanueva Novoa} [J. Algebra 269, No.
Alonso Álvarez, José Nicanor +3 more
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On Weak Crossed Products of Weak Hopf Algebras
Algebras and Representation Theory, 2011This paper extends to weak Hopf algebras [see \textit{G. Böhm} and \textit{K. Szlachányi}, Lett. Math. Phys. 38, No. 4, 437-456 (1996; Zbl 0872.16022)] the notion of cross product (with a given cocycle \(\sigma\)) of a Hopf algebra \(H\) with an algebra \(A\) which measures \(H\). Then it explores some properties of this weak cross product \(H\#_\sigma
Liu, Ling +2 more
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Nichols algebras over weak Hopf algebras
Applied Mathematics-A Journal of Chinese Universities, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Groupoid-cograded weak multiplier Hopf (∗-)algebras
International Journal of MathematicsLet [Formula: see text] be a groupoid and assume that [Formula: see text] is a family of algebras with identity. First, we introduce the notion of a weak Hopf (groupoid)[Formula: see text]-coalgebra by that if, for each pair [Formula: see text], there is given a unital homomorphism [Formula: see text] satisfying certain properties, generalizing the ...
Ruolei Fu, Shuanhong Wang
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