MML0010 |
Teaching Staff in Charge |
Prof. MARCUS Andrei, Ph.D., marcusmath.ubbcluj.ro |
Aims |
An introduction to Galois theory. The study of notions and basic results of the theory of universal algebras applied to the algebraic structures studied in the previous semesters, completed with new properties. |
Content |
Separable extensions and normal extensions. Galois group. Finite fields. Wedderburn's theorem. Characterization of equations solvable by radicals. The fundamental theorem of Galois Theory. Algebraically closed fields. The lattice of subalgebras and the lattice of congruences of a universal algebra. The isomorphism theorems for universal algebras. |
References |
1. PURDEA I., PIC GH., Tratat de algebra moderna, Vol.I, Ed. Acad.,1978.
2. PURDEA I.,Tratat de algebra moderna, vol.II, Ed.Acad.,1982. 3. ION I.D., RADU N., Algebra, Ed. Did. si Ped., 1990. |
Assessment |
Exam. |
Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |