Braided monoidal categories and Doi–Hopf modules for monoidal Hom-Hopf algebras

Shuangjian Guo; Xiaohui Zhang; Shengxiang Wang

doi:10.4064/cm6509-12-2015

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Braided monoidal categories and Doi–Hopf modules for monoidal Hom-Hopf algebras

Shuangjian Guo Xiaohui Zhang Shengxiang Wang

Year: 2015 Journal: Colloquium Mathematicum Pages: 1-25 Publisher: Polish Academy of Sciences

DOI: 10.4064/cm6509-12-2015

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Abstract

We continue our study of the category of Doi Hom-Hopf modules introduced in [Colloq. Math., to appear]. We find a sufficient condition for the category of Doi Hom-Hopf modules to be monoidal. We also obtain a condition for a monoidal Hom-algebra and monoi

Keywords:

Mathematics Hopf algebra Symmetric monoidal category Closed monoidal category Monoidal category Pure mathematics Enriched category Algebra over a field Functor

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Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Braided monoidal categories and Doi–Hopf modules for monoidal Hom-Hopf algebras

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