In mathematics, ring theory is the study of rings, algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers.

Subcategories

There are 4 subcategories to this category.

B

• Banach algebras

C

• Clifford algebras

F

• Field theory

T

• Topological rings

Articles in category "Ring theory"

There are 72 articles in this category.

Ring isomorphism Ring monomorphism Ring epimorphism Ring homomorphism Ring theory A Additive polynomial Advanced modular arithmetic theory Algebra (ring theory) Annihilator (ring theory) Artin-Wedderburn theorem Artinian ring B Biquaternion Boolean ring Brauer group C C-semiring Characteristic (algebra) Classification of Clifford algebras Clifford algebra Commutative ring D Division algebra Division ring E Endomorphism ring F Formal power series Fractional ideal

G Geometric algebra Glossary of ring theory Group algebra Group ring H Height (ring theory) Hilbert's basis theorem Hurwitz quaternion I Ideal (ring theory) Ideal quotient Ideal theory Integral domain Inversive ring geometry J Jacobson radical L Local ring Localization of a ring M Matrix ring Modular arithmetic Modular representation theory Monoid ring N Nilpotent Noetherian ring O Order (ring theory) P Polynomial ring Prime ideal Prime ring

P cont. Primitive ideal Primitive ring Principal ideal Q Quaternion Quiver (mathematics) R Radical of an ideal Ring (mathematics) Ring of quotients S Semi-local ring Semiring Severi-Brauer variety Simple ring Skolem-Noether theorem Spectrum of a ring T Tensor product of R-algebras Topological ring Torsion module U Unipotent element Unit (ring theory) Universal enveloping algebra V Von Neumann regular ring W Weyl algebra Z Zero divisor