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)

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