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.,  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