817 - Algebra
From Queer Beagle Wiki
Contents
Groups
Theorems
Topics in Group Theory
Sylow Theory
Semi-Direct Product
Quotient Groups
Isomorphism Theorems
Rings
Definition: A ring is a set \(R\) with two binary operation \( +\) and \(\cdot\) satisfying:
- \( (R,+)\) is an abelian group (with identity 0)
- \( (R,\cdot) \) is a semigroup
- \(\cdot \) is distributive over \( + \) (on both sides)
