A surname from German.

(mathematics) Used attributively to attribute a concept to the work of Ferdinand Georg Frobenius or more directly to associate it with the Frobenius endomorphism (commutative algebra, field theory) or Frobenius morphism (category theory).

plural of Frobenius number

For a given set of coprime positive integers, the greatest integer that cannot be expressed as a linear combination (with nonnegative integer coefficients) of its elements.

plural of Frobenius endomorphism

(algebra, commutative algebra, field theory) Given a commutative ring R with prime characteristic p, the endomorphism that maps x → xᵖ for all x ∈ R.

(mathematics) Any of a set of special polynomials for a square matrix A, namely projection matrices Aᵢ associated with the eigenvalues and eigenvectors of A.

plural of Frobenius covariant