前文从群开始讨论了抽象代数的一些基本概念,这篇文章我们完成讨论到有限域的构造。
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有限域和抽象代数的相关话题
为了后面要讨论的Finite Projective Plane的构造算法中用到的Finite Prime Field,我们需要做一些抽象代数的回归。完整的抽象代数教材和课程固然好,但不适合突击。我找到了一份不错的小件一点儿的资料Introduction to finite fields (是Stanford CS250/EE387的补充阅读)。基于这份资料,我们列出所有需要弄清楚的问题,然后一一整理明白。
Abstract Algebra Notes 2: Rings
Continuing with previous notes of Abstract Algebra, here we come to the concept of Rings. This time we use the textbook of Tom Judson’s Abstract Algebra: Theory and Applications.
Continue readingAbstract Algebra exercises: UCB Math113, Group Part
Recently I spend some time on doing the homework of UCB math113, here is group part.
Continue readingAbstract Algebra Notes 1: Group
During the EPIC2 year shutdown of VMware, I spent some time reading the book Algebra. Many trivial matters so the progress is slow. This is the first note on Group. This part is important and I find MIT OCW’s course Modern Algebra uses almost half of the content for group-related topics.
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