User:Fake Proof/Sandbox


 * Ring Theory (theorems | definitions)
 * Ideal Theory (theorems | definitions)
 * Definition:Generated Ideal of Ring (sandbox)
 * Definition:Product of Fractional Ideals
 * Definition:Product of Ideals of Ring
 * Definition:Subset Product/Ring (sandbox)
 * Definition:Principal Ideal of Ring (sandbox)
 * Equivalence of Definitions of Generated Ideal of Ring (sandbox)
 * Intersection of All Ring Ideals Containing Subset is Smallest
 * Intersection of Ring Ideals Contains Product (sandbox)
 * Principal Ideal is Ideal
 * Principal Ideal is Smallest Ideal
 * Product of Coprime Ideals equals Intersection
 * Sum of All Ring Products is Closed under Addition


 * Number Theory (theorems | definitions)
 * Bézout's Lemma
 * Bézout's Lemma/Bézout Domain (sandbox)
 * Bézout's Lemma/Euclidean Domain (sandbox)
 * Bézout's Lemma/Principal Ideal Domain (sandbox)


 * Chinese Remainder Theorem
 * Chinese Remainder Theorem/General Result
 * Chinese Remainder Theorem/General Result 2 (sandbox)
 * Chinese Remainder Theorem (Commutative Algebra) (sandbox)
 * Intersection of Congruence Classes


 * Differential Equations (theorems | definitions)
 * Definition:Lyapunov Function (sandbox)
 * Lyapunov's Stability Theorem (sandbox)