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Algebra 2

Code: 93000
ECTS: 5.0
Lecturers in charge: prof. dr. sc. Marko Tadić
English level:


All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

1. komponenta

Lecture typeTotal
Lectures 45
* Load is given in academic hour (1 academic hour = 45 minutes)
COURSE AIMS AND OBJECTIVES: This course is the final, second part of the standard advanced course in algebra. Basic structures that are studied in the course are rings, modules and fields.

1. Rings of quotients.
2. Polynomial rings.
3. Zeros of polynomials, derivatives, Gauss lemma.
4. Factorization in polynomial rings.
5. Factoriality of the polynomial rings. Eisenstein's criterion.
6. Modules. Basic definitions.
7. Sums and products of modules, exact sequences.
8. Functor Hom.
9. Free modules and vector spaces.
10. Tensor products of modules.
11. Algebraic and transcendent extensions.
12. Fundamental theorem of the Galois theory.
13. Splitting fields, algebraic closure.
Prerequisit for:
Enrollment :
Attended : Algebra 1

Examination :
Passed : Algebra 1
3. semester Not active
Algebra i osnove matematike - Regular study - Mathematics Education

4. semester
Algebra i osnove matematike - Regular study - Mathematics Education
Consultations schedule: