Acknowledgements This work was supported by the National Natural Science Foundation of China (Grant No. 11171291).
We study the Hopf *-algebra structures on the Hopf algebra H(1, q) over C. It is shown that H(1, q) is a Hopf *-algebra if and only if |q| = 1 or q is a real number. Then the Hopf *-algebra structures on H(1...
首先讨论GCN环的一些性质,其次证明了如下结果:1)设R为一个环,如果R上的二阶上三角矩阵环为GCN环,则R为约化环;2)GCN的exchange环R有稳定秩1;3)R为交换环当且仅当T={a 0 b c0 a 0 da,b,c,d,0 0 a e0 0 0ae∈R}是强GCN环;4)GCN的exchang...
Supported by the National Natural Science Foundation of China(Grant No.11171291);the Natural Science Fund for Colleges and Universities of Jiangsu Province(Grant No.11KJB110019);the Foundation of Graduate Innovation Program of Jiangsu Province(Grant No.CXZZ12-0082)
In this paper, a generalization of the class of semicommutative rings is investigated. A ring R is called left GWZI if for any a ∈ R, l(a) is a GW-ideal of R. We prove that a ring R is left GWZI if and only if S3(...