Category:Ring theory

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