CentralNotice From Wikipedia, the free encyclopedia Jump to navigation Jump to search Algebraic structure with addition and multiplication This article is about an algebraic structure. For geometric rings, see Annulus (mathematics) . For the set theory concept, see Ring of sets . Algebraic structure → Ring theory Ring theory Basic concepts Rings • Subrings • Ideal • Quotient ring • Fractional ideal • Total quotient ring • Product ring • Free product of associative algebras • Tensor product of rings Ring homomorphisms • Kernel • Inner automorphism • Frobenius endomorphism Algebraic structures • Module • Associative algebra • Graded ring • Involutive ring • Category of rings • Initial ring Z {\displaystyle \mathbb {Z} } • Terminal ring 0 = Z 1 {\displaystyle 0=\mathbb {Z} _{1}} Related structures • Field • Finite...