Category:Commutative algebra

In mathematics, Commutative Algebra is the area of abstract algebra dealing with commutative rings and commutative modules and algebras over commutative rings. It is essential to the study of algebraic geometry and algebraic number theory.

Articles in category "Commutative algebra"

There are 22 articles in this category.

Chinese remainder theorem Commutative algebra Commutative ring D Dedekind domain Discrete valuation Discrete valuation ring Dual numbers

F Flat module H Hilbert's basis theorem Hilbert's syzygy theorem Homological conjectures in commutative algebra I Integral domain K Krull dimension Krull's principal ideal theorem Kähler differential

L Lasker-Noether theorem P Polynomial ring Principal ideal domain Q Quotient field R Regular sequence (algebra) S Serre's multiplicity conjectures W Weierstrass preparation theorem