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  • 1 Qufu Normal University, Shandong, Qufu 273165, China
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Abstract

We study certain subgroups of the full group of Hopf algebra automorphisms of twisted tensor biproducts.

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  • [1]

    Beck, J., Distributive laws, in Seminar on Triples and Categorical Homology, B. Eckmann and M. Tierney (eds.), Lecture Notes in Mathematics, Volume 80, Springer-Verlag, 1969. Also available as Reprints in Theory and Applications of Categories, No. 18 (2008) http://www.tac.mta.ca/tac/reprints/articles/18/tr18abs.html.

    • Search Google Scholar
    • Export Citation
  • [2]

    Benabou, J., Algebre elementaire dans les categories avec multiplication, C. R. Acad. Sci. Paris, 258 (1964), 771774.

  • [3]

    Caenepeel, S. and Goyvaerts, I., Monoidal Hom-Hopf algebras, Comm. Alg., 39 (2011), 645672.

  • [4]

    Caenepeel, S., Ion, B., Militaru, G. and Zhu, S. L., The factorization problem and the smash biproduct of algebras and coalgebras, Algebra. Represent. Theory, 2 (2000), 1942.

    • Search Google Scholar
    • Export Citation
  • [5]

    Caenepeel, S. and De Lombaerde, M., A categorical approach to Turaev's Hopf group-coalgebras, Comm. Algebra, 34 (2006), 26312657.

  • [6]

    Joyal, A. and Street, R., Braided tensor categories, Adv. Math., 102 (1993), 2078.

  • [7]

    Ma, T. S. and Wang, S. H., General double quantum groups, Comm. Alg., 38 (2010), 645672.

  • [8]

    Mac Lane, S., Natural associativity and commutativity, Rice Univ. Studies, 49 (1963), 2846.

  • [9]

    Mac Lane, S., Categories for the Working Mathematician, 2nd edition, Springer, Berlin, 1998.

  • [10]

    Majid, S., Braided momentum in the q-Poincare group, J. Math. Phys., 34 (1993), 22162240.

  • [11]

    Radford, D. E., On automorphisms of biproducts, Comm. Alg., 45 (2017), 1351398.

  • [12]

    Radford, D. E., The structure of Hopf algebra with a projection, J. Algebra, 92 (1985), 322347.

  • [13]

    Van Daele, A. and Van Keer, S., The Yang-Baxter and Pentagon equation, Composition Math., 91 (1994), 201221.

  • Impact Factor (2018): 0.309
  • Mathematics (miscellaneous) SJR Quartile Score (2018): Q3/li>
  • Scimago Journal Rank (2018): 0.253
  • SJR Hirsch-Index (2018): 21

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Publication Programme: 2020. Vol. 57.
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Senior editors

Editor(s)-in-Chief: Pálfy Péter Pál

Managing Editor(s): Sági, Gábor

Editorial Board

  • Biró, András (Number theory)
  • Csáki, Endre (Probability theory and stochastic processes, Statistics)
  • Domokos, Mátyás (Algebra (Ring theory, Invariant theory))
  • Győri, Ervin (Graph and hypergraph theory, Extremal combinatorics, Designs and configurations)
  • O. H. Katona, Gyula (Combinatorics)
  • Márki, László (Algebra (Semigroup theory, Category theory, Ring theory))
  • Némethi, András (Algebraic geometry, Analytic spaces, Analysis on manifolds)
  • Pach, János (Combinatorics, Discrete and computational geometry)
  • Rásonyi, Miklós (Probability theory and stochastic processes, Financial mathematics)
  • Révész, Szilárd Gy. (Analysis (Approximation theory, Potential theory, Harmonic analysis, Functional analysis))
  • Ruzsa, Imre Z. (Number theory)
  • Soukup, Lajos (General topology, Set theory, Model theory, Algebraic logic, Measure and integration)
  • Stipsicz, András (Low dimensional topology and knot theory, Manifolds and cell complexes, Differential topology)
  • Szász, Domokos (Dynamical systems and ergodic theory, Mechanics of particles and systems)
  • Tóth, Géza (Combinatorial geometry)

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