ALGEBRA 1

After successful completion of this course the student will be able to: 1. Define the basic algebraic structures: groupoid, semigroup, monoid,group, ring and the field. 2. Describe algebra of sets,the algebra of functions and the algebra of natural numbers. 3. Explain and transmit the notion of lattice and complemented lattice. 4. Explain and transmit the basic notions of group theory such as the notions of subgroup, normal subgroup, factor group, cyclic groups, derived subgroup, group homomorphism and inner automorphism. 5. Prove and apply in practice Lagrange”s theorem and the fundamental theorem of group homomorphisms.