Let B and H be finitely generated projective Hopf algebras over a commutative ring R, with B cocommutative and H commutative. In this paper we investigate cocleft extensions of Hopf algebras, and prove that the isomor...Let B and H be finitely generated projective Hopf algebras over a commutative ring R, with B cocommutative and H commutative. In this paper we investigate cocleft extensions of Hopf algebras, and prove that the isomorphism classes of cocleft Hopf algebras extensions of B by H are determined uniquely by the group C(B, H) = ZC(B, H)/d(B, H) .展开更多
This paper studies error formulas for Lagrange projectors determined by Cartesian sets. Cartesian sets are properly subgrids of tensor product grids. Given interpolated functions with all order continuous partial deri...This paper studies error formulas for Lagrange projectors determined by Cartesian sets. Cartesian sets are properly subgrids of tensor product grids. Given interpolated functions with all order continuous partial derivatives, the authors directly construct the good error formulas for Lagrange projectors determined by Cartesian sets. Owing to the special algebraic structure, such a good error formula is useful for error estimate.展开更多
基金the NSF of China(No.10571153)and the NSF(No.2004kj352) of Anhui ProvinceChina
文摘Let B and H be finitely generated projective Hopf algebras over a commutative ring R, with B cocommutative and H commutative. In this paper we investigate cocleft extensions of Hopf algebras, and prove that the isomorphism classes of cocleft Hopf algebras extensions of B by H are determined uniquely by the group C(B, H) = ZC(B, H)/d(B, H) .
基金supported by Chinese National Natural Science Foundation under Grant Nos.11601039,11671169,11501051the Open Fund Key Laboratory of Symbolic Computation and Knowledge Engineering(Ministry of Education)under Grant No.93K172015K06the Education Department of Jilin Province,“13th Five-Year”Science and Technology Project under Grant No.JJKH20170618KJ
文摘This paper studies error formulas for Lagrange projectors determined by Cartesian sets. Cartesian sets are properly subgrids of tensor product grids. Given interpolated functions with all order continuous partial derivatives, the authors directly construct the good error formulas for Lagrange projectors determined by Cartesian sets. Owing to the special algebraic structure, such a good error formula is useful for error estimate.
