7 citations · 21 across the 10 of their papers we have counts for
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An Example of Double Cross Coproducts with Non-trivial Left Coaction and Right Coaction in Strictly Braided Tensor Categories
Shouchuan Zhang, Bizhong Yang, Beishang Ren
An example of double cross coproducts with both non-trivial left coaction and non-trivial right coaction in strictly braided tensor categories is given.
The Radicals of Crossed Products
Shouchuan Zhang
The relations between the radical of crossed product $R #_σH$ and algebra are obtained. Using this theory, the author shows that if is a finite-dimensional semisimple, cose…
The Radicals of Hopf Module Algebras
Shouchuan Zhang
The characterization of -prime radical is given in many ways. Meantime, the relations between the radical of smash product $R # H$ and the -radical of Hopf module algebra …
The relation between the decomposition of comodules and coalgebras
Shouchuan Zhang
T. Shudo and H. Miyamito \cite{SM78} showed that can be decomposed into a direct sum of its indecomposable subcoalgebras of . Y.H. Xu \cite {XF92} showed that the decomposit…
Homological Dimension of Crossed Products
Shouchuan Zhang
We obtain that the global dimensions of and the crossed product $R # _σH$ are the same; meantime, their weak dimensions are also the same, when is finite-dimensional semisi…
The Von Neumann Regular Radical and Jacobson Radical of Crossed Products
Shouchuan Zhang
We construct the -von Neumann regular radical for -module algebras and show that it is an -radical property. We obtain that the Jacobson radical of twisted graded algebra…