Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT

Code	Subject	
MML0002	Algebra	

Section	Semester	Hours: C+S+L	Category	Type	
Computer Science	1	3+2+0	fundamental	compulsory	

Teaching Staff in Charge	Assoc.Prof. BREAZ Simion Sorin, Ph.D., bodo@math.ubbcluj.ro
Assoc.Prof. CRIVEI Septimiu, Ph.D., crivei@math.ubbcluj.ro
Lect. SZANTO Csaba Lehel, Ph.D., szanto@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.	
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.
	
Assessment	Exam.