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 |

Basic notions and results concerning divisibility, purity, basic subgroups and Ulm-Kaplansky invariants for abelian groups. |

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. |