Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
An Introduction to Auslander-Reiten Theory Lecture Notes
 

Summary:  An Introduction to Auslander-Reiten Theory
Lecture Notes
Advanced School on Representation Theory and related Topics
ICTP Trieste, January 2006
Lidia Angeleri H¨ugel
(updated on June 2, 2006)
Contents
1 SOME HOMOLOGICAL ALGEBRA 1
1.1 Projective and injective modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Finitely presented modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.3 Injective envelopes, projective covers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.4 Cogenerators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.5 Radical and Socle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.6 Push-out and Pull-back . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.7 A short survey on Ext1
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2 ALMOST SPLIT SEQUENCES 8
2.1 Almost split maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2.2 The Auslander-Bridger transpose . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.3 The local dual . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

  

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

 

Collections: Mathematics