"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Basic algebraic structures
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MA001
1
2+2+0
6
compulsory
Matematică
MA001
1
2+2+0
6
compulsory
Informatică
MA001
1
2+2+0
6
compulsory
Matematică-Informatică
MA001
1
2+2+0
6
compulsory
Matematici Aplicate
Teaching Staff in Charge
Prof. CALUGAREANU Grigore, Ph.D., calu@math.ubbcluj.ro
Prof. MARCUS Andrei, Ph.D., marcus@math.ubbcluj.ro
Lect. SACAREA Cristian, Ph.D., csacarea@math.ubbcluj.ro
Aims
Basic notions and results concerning algebraic structures.
Content
The course presents notions and basic results concerning algebraic structures, namely groups, rings, division rings and modules, with the study of the induced substructures and factor structures and connections between them (correspondence theorems for (normal) subgroups, subrings (ideals) and the isomorphism theorems).
The basic principles of Linear Algebra (vector spaces, bases, dimension) are also discussed.
References
1. G. Pic, I. Purdea, Tratat de algebra moderna, vol.1, Editura Academiei, 1977.
2. I. Purdea, Tratat de algebra moderna, vol.2, Editura Academiei, 1982.
3. G. Calugareanu, Lectii de algebra liniara, Litografiat Univ. Babes-Bolyai, 1995.
4. I.D. Ion, N. Radu, Algebra (ed.3-a), Editura Didactica si Pedagogica, 1981.
5. N. Bourbaki, Algebre, chap.1 -3, Editura Hermann, 1970.
6. L. Salce, Lezioni di Algebra lineare due, edizione ridotta, Decibel-Zanichelli, 1992.
Assessment
Exam.