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ALGEBRA 2


Semester: 4
ECTS: 5
Status: Obavezan
Lessons: 2+2+0
Double: Ne
ECTS catalogue
Learning outcomes:

On successful completion of this course, students will be able to: - describe the group of symmetry and isometry, direct product of groups and the symmetric group with the proof of the Cayley theorem - examine the structure of a ring in detail and define subrings, ideals, maximal and prime, quotient rings and direct products of rings - prove the Fundamental theorem on homomorphisms of rings, the first and second theorem of isomorphisms of rings with applications - define the characteristic of a ring and prove basic theorems related to it - describe the fraction field - describe the ring of polynomials and polynomial functions and prove the basic theorems about the factorization of polynomials with applications - describe the construction of field extensions and Euclidean rings, especially the Euclid’s algorithm of dividing with residue with applications

Teaching staff

Name Lectures Exercises Laboratory
BILJANA ZEKOVIĆ2x1
4B+6S+9P
VLADIMIR IVANOVIĆ2x1
4B+6S+9P

New announcement - 03.09.2024 14:46

New announcement - 27.06.2024 15:05

New announcement - 29.05.2024 12:04

New announcement - 20.05.2024 14:13

New announcement - 12.05.2024 23:22

New announcement - 14.04.2024 12:27

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