Universitatea Babeş-Bolyai Cluj-Napoca
Facultatea de Matematică şi Informatică
Ciclul de studii: Licenţă
Domeniul: Informatică
Programul de studii: Informatică - în limba engleză
Limba de predare: Engleză

SYLLABUS

I. General data
Code	Subject	
MML0002	Algebra	

Semester	Hours: C+S+L	Category	Status	
1	3+2+0	fundamental	compulsory	

II. Full status faculty members
Name and	Scientific	Didactic	Chair	Type of activity	
surname	title	title		C	S	L	
CRIVEI Septimiu	Ph.D.	Assoc.Prof.	Algebra	*			

Associated faculty members
Name and	Scientific	Institution	Type of	Type of activity	
surname	title		position	C	S	L	

III. Course objectives
Basic notions and results concerning algebraic structures.	

IV. Course contents
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.	

V. Bibliography
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. I. PURDEA, I. POP, Algebra, Editura GIL, Zalau, 2003.
4. G. CALUGAREANU, Lectii de algebra liniara, Litografiat Univ. Babes-Bolyai, 1995. 
5. I.D. ION, N. RADU, Algebra (ed.3-a), Editura Didactica si Pedagogica, 1981. 
6. N. BOURBAKI, Algebre, chap.1 -3, Editura Hermann, 1970.
7. G. CALUGAREANU, P. HAMBURG: Exercises in basic ring theory, Kluwer Academic Publishers, Dordrecht, Boston 1998.
8. S. CRIVEI:  Basic Abstract Algebra, Casa Cartii de Stiinta, Cluj-Napoca 2002.
9. M. BALINT, G. CZEDLI, A. SZENDREI: Absztrakt algebrai feladatok, Tankonyvkiado, Budapest1988.
10. A. MARCUS : Algebra [http://math.ubbcluj.ro/~marcus]
11. J. SZENDREI:  Algebra es szamelmelet, Tankonyvkiado, Budapest1974.
12. G. SCHEJA, U. STORCH: Lehrbuch der Algebra 1,2, B.G. Teubner, Stuttgart  1994
13. M. ARTIN:   Algebra, Birkhauser, Basel  1998.

VI. Thematic of didactic activities per weeks

VII. Didactic methods used

VIII. Assessment
Exam.	

IX. Additional references

	Date,							Course responsible,
								Assoc.Prof. CRIVEI Septimiu, Ph.D.