| Change log entry 75258 | |
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| Processed by: | richwarm (2022-07-17 08:40:28 UTC) |
| Comment: |
整环（Integral domain），又译作整域，是抽象代数中的一个概念，指含乘法单位元的无零因子的交换环。 https://zh.wikipedia.org/wiki/%E6%95%B4%E7%8E%AF "A set satisfying only axioms 1–7 is called a ring, and if it also satisfies axiom 9 it is called a ring with unity. A ring satisfying the commutative law of multiplication (axiom 8) is known as a commutative ring. When axioms 1–9 hold and there are no proper divisors of zero (i.e., whenever ab = 0 either a = 0 or b = 0), a set is called an integral domain." [Encyclopaedia Britannica article: "modern algebra"] |
| Diff: |
- 整環 整环 [zheng3 huan2] /integral ring (math.)/ + 整環 整环 [zheng3 huan2] /integral domain (abstract algebra)/ + 整域 整域 [zheng3 yu4] /integral domain (abstract algebra)/ |