论文标题
代数和山地的多罗延伸，II
Dorroh extensions of algebras and coalgebras, II
论文作者
论文摘要
在本文中，我们研究了双ggebras和Hopf代数的多罗赫扩展。令$（h，i）$是一对代数和一对山地。我们为$ h \ ltimes_di $提供了必要和足够的条件，分别为bialgebra和hopf代数。我们还描述了山地的代数延伸的dorroh扩展和副毛的所有理想。
In this paper, we study Dorroh extensions of bialgebras and Hopf algebras. Let $(H,I)$ be both a Dorroh pair of algebras and a Dorroh pair of coalgebras. We give necessary and sufficient conditions for $H\ltimes_dI$ to be a bialgebra and a Hopf algebra, respectively. We also describe all ideals of Dorroh extensions of algebras and subcoalgebras of Dorroh extensions of coalgebras and compute these ideals and subcoalgebras for some concrete examples.
