Accesibility Adjustments

Choose the right accessibility profile for you
OFF ON
Highlight Links Highlights all the links on the site!
OFF ON
Pause Animations Animations will be paused on the site!
OFF ON
Dyslexia Font Dyslexia Font will be applied on the site!
OFF ON
Hide Images All images will be hidden on the site!
Choose the right accessibility profile for you
Adjust Font Sizing
Default
High Saturation
High Contrast
Light Contrast
Dark Contrast
Adjust Letter Spacing
Default
Adjust Line Height
Default
Speak Mode
Align Center
Align Left
Align Right

ALGEBRA


Semester: 2
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: - define basic algebraic structures ( groupoids, semigroups, monoids, groups, rings, fields) - describe the algebra of sets, relations, mappings, natural numbers - describe semigroups with the proof of the Representation theorem (regular, idempotent, inverse) in detail - describe lattices (distributive, modular, with complements) - examine the structure of groups in detail and define subgroups, normal subgroups, quotient groups, cyclic groups, symmetric group with the proof of the Cayley theorem , direct product of groups and prove the Fundamental theorem on homomorphisms of groups - examine the structure of rings in detail and define subrings, ideals, quotient rings, direct product of rings and prove the Fundamental theorem on homomorphisms of rings - describe the ring of polynomials and polynomial functions and prove the basic theorems about the factorization of polynomials with applications

Teaching staff

Name Lectures Exercises Laboratory
MARIJA DOŠLJAK2x1
47B+21P
SANJA RAŠOVIĆ-JANČIĆ2x1
47B+21P

New announcement - 10.06.2025 09:08

New announcement - 02.06.2025 17:44

New announcement - 28.04.2025 14:45

New announcement - 22.04.2025 08:06

New announcement - 19.04.2025 10:53

New announcement - 16.09.2024 12:55

//