Algebra

Sylow theorems; direct products; fundamental theorem of finite Abelean groups; field of quotients; Euclidean rings; Polynomial rings over commutative rings; inner product spaces; theory modules; sub-modules; quotient modules; modules over principal ideal domains.

Sylow theorems; direct products; fundamental theorem of finite Abelean groups; field of quotients; Euclidean rings; Polynomial rings over commutative rings; inner product spaces; theory modules; sub-modules; quotient modules; modules over principal ideal domains; Applications finitely generated Abelean group fields extension fields elements of Galois theory; solvability radicals