Ding-Guo Wang

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math.RA2025

On $4 n$ -dimensional neither pointed nor semisimple Hopf algebras and the associated weak Hopf algebras

Jialei Chen, Shilin Yang, Dingguo Wang +1

For a class of neither pointed nor semisimple Hopf algebras $H_{4 n}$ of dimension $4 n$ , it is shown that they are quasi-triangular, which universal $R$ -matrices are described. The…

math.RA2024

On the generalizations of global dimensions and singularity categories

Xiaolei Zhang, Tiwei Zhao, Dingguo Wang

For each $n \in N \cup {\infty}$ , we introduce the notion of $n$ -singularity category $D_{n - s g} (R)$ of a given ring $R$ , which can be seen as a generalization…

On 4n-dimensional neither pointed nor semisimple Hopf algebras and the associated weak Hopf algebras

On the generalizations of global dimensions and singularity categories

On $4 n$ -dimensional neither pointed nor semisimple Hopf algebras and the associated weak Hopf algebras