σ-代数为什么叫代数？它有代数结构吗？ 第1页

谢邀：我一个做分析怎么就来回答代数了呢？于是我念了一首诗。

因为它是一个特殊的boolean algebra， 这是一类只能取0或者1的代数，这类代数的运算一般不是加法和乘法，而是取交，并以及取补

Boolean algebra - Wikipedia In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively. Instead of elementary algebra where the values of the variables are numbers, and the main operations are addition and multiplication, the main operations of Boolean algebra are the conjunction and denoted as ∧, the disjunction or denoted as ∨, and the negation not denoted as ¬. It is thus a formalism for describing logical relations in the same way that ordinary algebra describes numeric relations