Faculty of Mathematics and Computer Science

Abelian groups |

Code |
Semes-ter |
Hours: C+S+L |
Credits |
Type |
Section |

Teaching Staff in Charge |

Prof. CALUGAREANU Grigore, Ph.D., calu@math.ubbcluj.ro |

Aims |

Continuation of the presentation of notions and basic results in the theory of abelian groups, following the course of Commutative Algebra from semester 7. |

Content |

Basic knowledges concerning divisibility (equivalence to injectivity, structure theorem), purity (the notion of purity in lattices, characterizations of purity for subgroups), basic subgroups (existence and uniqueness up to an isomorphism), Ulm-Kaplansky invariants and Ulm's theorem. |

References |

1. L. Fuchs, Infinite Abelian Groups, vol.1, Academic Press, 1970.
2. G. Calugareanu, Introducere laticiala in teoria grupurilor abeliene, Editura Expert, 1994. |

Assessment |

Exam. |