论文标题
代数和山地的多罗（Dorroh）延伸，i
Dorroh extensions of algebras and coalgebras, I
论文作者
论文摘要
在本文中，我们研究了代数和山地延伸的多罗形扩展。描述了它们的结构。提出了这些扩展的某些特性。我们还介绍了代数和模块的有限双重，这些双重二必须是Unitital的。使用这些有限的双重，我们确定两种扩展之间的二重关系。
In this article, we study Dorroh extensions of algebras and Dorroh extensions of coalgebras. Their structures are described. Some properties of these extensions are presented. We also introduce the finite duals of algebras and modules which are not necessarily unital. Using these finite duals, we determine the dual relations between the two kinds of extensions.
