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ON SOME PRECOVERS AND PREENVELOPES Lidia Angeleri Hugel
 

Summary: ON SOME PRECOVERS AND PREENVELOPES
Lidia Angeleri H¨ugel
Habilitationsschrift
zur Feststellung der Lehrbef¨ahigung
f¨ur das Fach Mathematik
in der Fakult¨at f¨ur Mathematik und Informatik
der Ludwig-Maximilians-Universit¨at M¨unchen
Mai 2000
Contents
Introduction 1
1 PRELIMINARIES 7
1.1 Precovers and preenvelopes . . . . . . . . . . . . . . . . . . . . . . . . 8
1.2 Covers and envelopes . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
2 PERFECTNESS 13
2.1 Semiregular endomorphism rings . . . . . . . . . . . . . . . . . . . . 14
2.2 Perfect functor categories . . . . . . . . . . . . . . . . . . . . . . . . . 16
2.3 Locally split homomorphisms . . . . . . . . . . . . . . . . . . . . . . 18
2.4 AddM-covers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
3 COHERENCE 26
3.1 When matrix subgroups are finitely generated . . . . . . . . . . . . . 27

  

Source: Angeleri Hügel, Lidia - Dipartimento di Informatica, Universita` di Verona

 

Collections: Mathematics