Basic algebraic structures |
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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. |