1 | Defines the fundementel algebra structures. |
2 | Defines the concept of the group, subgroup, cyclic group and subnormal groups, gives examples and proves the related theorems. |
3 | Knows the concepts of division group, symmetric group and group homomorphisms. |
4 | Knows the p-groups, Sylow theorems and solves the related examples. |
5 | Knows the concepts of the rings and ideals and by the help of them defines the division rings. |
6 | Knows the concepts and poprties of the integral domains and fields. |
7 | Defines the ring homomorphism and knows the differences between the ring and group homomorphisms. |
8 | Knows the concepts and properties of prime and maximal ideals. |
9 | Gains the power to make comment on the information learned. |