谈高等代数理论的三条主线

On Three Main Leads of Higher Algebra Theory

提出贯穿高等代数理论的三条主线。它们是:从具体的数学对象向抽象的代数系统的转变;从各类数学对象的传统表示向统一的矩阵表示的转变;从数学对象间的具体关系向集合元素间的抽象关系的转变。

This article advances three main leads of higher algebra theory. They are the change from concrete mathematical objects to abstract algebraic systems, the change from respective tradition notation of mathematical objects to unitary matrix notation, and the change from concrete relations between the mathematical objects to abstract relations between the elements of set.