Algebra Tensor Product Is Well-Defined Algebra Galois Group of a Finite Field Extension Algebra Characterisation of $\mathfrak{m}$-Primary Ideals Algebra Trace and Determinant from Eigenvalues Linear Algebra Spectral Properties of Hermitian Matrices Linear Algebra Radical as Intersection of Primes Algebra Primitive Element Theorem Algebra Completeness of Irreducible Characters Representation Theory Algebra Area