quotient set

商集

Foundations & Logic · Undergraduate · Mathematics Resources editorial compilation (AI-assisted)

Translation evidence: Literature usage

Meaning in context

The set of equivalence classes of a specified equivalence relation on a set X.

由指定集合 X 上某一等价关系的全部等价类组成的集合。

Example

$\mathbb Z/{\sim}$ for congruence modulo four has four members.

Usage and distinctions

Operations require compatibility with the relation before they descend to the quotient.

Recommended reading in this subject · Preparation & skip guidance

Definition sources

1. 李文威 — 代数学方法，第一卷（作者源码）第1章「ZFC 公理一览」 · Checked 2026-10-14

Translation sources

1. 李文威 — 代数学方法，第一卷（作者源码）第1章：「ZFC 公理一览」，商集 X/∼ 的定义 · Checked 2026-10-14

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