Editing List of theorems (section)

==Commutative algebra==

*[[Artin approximation theorem]] (''[[commutative algebra]]'')
*[[Bézout's lemma|Bézout's identity]] (''[[number theory]]'')
*[[Chinese remainder theorem]] (''[[number theory]]'')
*[[Cohen structure theorem]] (''[[commutative algebra]]'')
*[[Factor theorem]] (''[[polynomials]]'')
*[[Fundamental theorem of arithmetic]] (''[[number theory]]'')
*[[Going up and going down|Going-up and going-down theorems]] (''[[commutative algebra]]'')
*[[Hilbert's basis theorem]] (''[[commutative algebra]]'',''[[invariant theory]]'')
*[[Hilbert's syzygy theorem]] (''[[commutative algebra]]'')
*[[Integral root theorem]] (''[[algebra]], [[polynomials]]'')
*[[Krull's principal ideal theorem]] (''[[commutative algebra]]'')
*[[Lasker–Noether theorem]] (''[[commutative algebra]]'')
*[[Linear congruence theorem]] (''[[number theory]]'', ''[[modular arithmetic]]'')
*[[Quillen–Suslin theorem]] (''[[abstract algebra]]'')
*[[Rédei's theorem]] (''[[group theory]]'')
*[[Schwartz–Zippel theorem]] (''[[polynomials]]'')
*[[Structure theorem for finitely generated modules over a principal ideal domain]] (''[[abstract algebra]]'')
*[[Unmixedness theorem]] (''[[algebraic geometry]]'')