Subject matter:
Selected topics from:
Divisibility into rings (especially Z- and polynomial rings); residual classes and congruencies; modules and ideals
Euclidean, principal ideal and factorial rings
The quadratic law of reciprocity
Primality tests and cryptography
The structure of abel groups (or modules about main ideal rings)
Symmetric function set
Body extensions, Galois correspondence; constructions with compasses and rulers
Non-Label groups (set of Lagrange, normal dividers, dissolvability, sylow groups)