Example image of eyePlorer eyePlorer map for 'Unit (ring theory)': Identity element Inverse element Mathematics Monoid Ring (mathematics) Unital Identity matrix Unit ring Local ring Group (mathematics) Group action Equivalence relation Category of groups Category of rings Functor Group homomorphism Ring homomorphism Adjoint functors Group ring Cardinality Integral domain Division ring If and only if Coprime Modular arithmetic Multiplicative group of integers modulo n Ring of integers Algebraic number field Dirichlet's unit theorem Root of unity Quadratic field Invertible matrix Matrix (mathematics) Atomic domain Cyclotomic unit Eisenstein prime Gauss sum Irreducible element S-unit Kronecker symbol Localization of a ring Square-free Elementary divisors Invariant factor Narrow class group Table of prime factors Character (mathematics) Composite number Glossary of group theory Salem number