23-02-14-Abstract

Posted on Edited on In Symbols count in article: 326 Reading time ≈ 1 mins.

I am reading Ideal, varieties, and algorithms, however I haven’t learnt the abstract algebra. Thus I will make some records for some typical definitions, which can help me learn well about this book.

Fields and Rings

Def1 a set $k$ and two binary operations $\cdot$ and $+$ defined on $k$.

Conditions

  • $(a + b) + c = a + (b + c)$ and $(a \cdot b) \cdot c = a \cdot(b \cdot c)$ for all $a, b, c$
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