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

Universal algebras (2)
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MA252
2
2+2+0
9
compulsory
Algebră şi Geometrie
Teaching Staff in Charge
Prof. PURDEA Ioan, Ph.D., purdea@math.ubbcluj.ro
Aims
The study of notions and basic results of the theory of universal algebras.
Content
Derived algebras. The monoid of endomorphisms and the group of automorphisms of a universal algebra. Constructions of universal algebras: direct products, subdirect products, direct limits and inverse limits. Operators on classes of universal algebras. Varieties of universal algebras. Free universal algebras. Identities and free algebras. Varieties of algebras with commuting congruences. Independence in universal algebras. Independent subsets, bases. Problems on cardinals of bases. Independence in special classes of algebras.
References
1. Burris, S., Sankappanavar, H.P., A Course in Universal Algebra, Springer-Verlag, 1994
2. Cohn, P.M., Universal Algebra, Harper and Row, New York, 1965
3. Gratzer, G., Universal Algebra, Springer-Verlag, 1989
4. Purdea, I., Pic, Gh., Tratat de algebra moderna, vol.I, Ed. Academiei, 1977
5. Purdea, I., Tratat de algebra moderna, vol.II, Ed. Academiei, 1982
Assessment
Written exam.