Abstract
1 Groups, Rings and Fields 2 Maximal and Prime Ideals 3 Prime Elements and Unique Factorization Domains 4 Polynomials and Polynomial Rings 5 Field Extensions 6 Field Extensions and Compass and Straightedge Constructions 7 Kronecker's Theorem and Algebraic Closures 8 Splitting Fields and Normal Extensions 9 Groups, Subgroups and Examples 10 Normal Subgroups, Factor Groups and Direct Products 11 Symmetric and Alternating Groups 12 Solvable Groups 13 Groups Actions and the Sylow Theorems 14 Free Groups and Group Presentations 15 Finite Galois Extensions 16 Separable Field Extensions 17 Applications of Galois Theory 18 The Theory of Modules 19 Finitely Generated Abelian Groups 20 Integral and Transcendental Extensions 21 The Hilbert Basis Theorem and the Nullstellensatz 22 Algebraic Cryptography.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
