学术报告报告题目：Construction of free differential algebras by extending Grobner-Shirshov bases
报 告 人：黎允楠 副教授(广州大学)
报告时间：2020 年11 月28 日（星期六）上午10:00-11:00
报告地点：4号楼4318室
邀 请 人：刘明 博士
欢迎广大师生前往！
数学学院
2020年11月25日
报告摘要：
As a fundamental notion, the free differential algebra on a set is concretely constructed as the polynomial algebra on the differential variables. Such a construction is not known for the more general notion of the free differential algebra on an algebra, from the left adjoint functor of the forgetful functor from differential algebras to algebras, instead of sets. In this talk we show that generator-relation properties of a base algebra can be extended to the free differential algebra on this algebra. More precisely, Gr¨obner-Shirshov basis property of the base algebra can be extended to provide a Poincar´e-Birkhoff- Witt type basis for these more general free differential algebras. Examples aregiven as illustrations. This is joint work with Li Guo.