Syllabus
Fundamentals - ideals, radical, notherian property, chinese remainder theorem
Galois theory - splitting fields, algebraic closure, Galois correspondence
Introduction to algebraic geometry - the IV correspondence, Hilbert's Nullstellensatz, irreducible decomposition
Introduction to algebraic number theory - integral extensions, Dedekind domains
Annotation
A recommended course for Information Security and specialization Mathematical Structures within General
Mathematics.
It covers basic topics of commutative ring theory.