Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT

Code	Subject	
MML0010		

Section	Semester	Hours: C+S+L	Category	Type	
Mathematics - in Hungarian	6	2+1+0	speciality	optional	
Mathematics-Computer Science - in Hungarian	6	2+1+0	speciality	optional	

Teaching Staff in Charge	Prof. MARCUS Andrei, Ph.D., marcus@math.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.	
Bibliography	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.