Algebraic structures

Algebraic structure with a group-invertible operation.

Group whose operation is also commutative.

Compact criterion for verifying nonempty subgroups.

Structure with abelian-group addition and distributive multiplication.

Commutative ring in which every nonzero element is invertible.

Fundamental finite field in cryptography and coding theory.

Map that preserves the algebraic operation.

Bijective homomorphism; indicates structural equivalence.