Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

On finitely presented functors, Auslander algebras and almost split sequences

Tools
- Tools
+ Tools

Nogueira, Maria Teresa Anes Duarte (1986) On finitely presented functors, Auslander algebras and almost split sequences. PhD thesis, University of Warwick.

[img]
Preview
PDF
WRAP_Theses_Nogueira_1986.pdf - Unspecified Version - Requires a PDF viewer.

Download (4Mb) | Preview
Official URL: http://webcat.warwick.ac.uk/record=b1447104~S15

Request Changes to record.

Abstract

This thesis consists of two parts:

In Part A we study the category of finitely presented functors and use it to determine the representation type of the Auslander Algebra of Aq = K-algebra <z:zq = 0> , denoted Rq (K is a field). This is possible because the category of finitely generated modules over Rq, mod Rq , is equivalent to the category of finitely presented functors from (mod Aq)ᵒᵖ to Mod k. Part A finishes with the construction of the Auslander-Reiten quiver of Rq in case q = 3.

Part B deals with the construction of almost split sequences in the category mod° Δ of lattices over an R-order Δ , where R is a complete discrete rank 1 valuation ring.

In the first chapter of part B we give a description of some unpublished work by J. A. Green who permitted me to include it in this thesis. This work contains a method to construct a short exact sequence 0-> N-> E-> S-> 0 in a way which gives an explicit expression for the subfunctor Im( ,g) of ( ,S) , and shows that the construction of almost split sequences can be viewed as a particular case of this problem.

In the second chapter of part B we continue this work by deducing a "trace formula" which provides a practical way of dealing with a certain step of the construction of almost split sequences in mod° Δ. Then we consider the particular case where Δ is the group ring.

Item Type: Thesis (PhD)
Subjects: Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH): Functor theory, Algebra -- Research, Finite groups, Sequences (Mathematics)
Official Date: July 1986
Dates:
DateEvent
July 1986Submitted
Institution: University of Warwick
Theses Department: Mathematics Institute
Thesis Type: PhD
Publication Status: Unpublished
Supervisor(s)/Advisor: Green, J. A. (James Alexander)
Sponsors: Instituto Nacional de Investigação Científica (Portugal)
Extent: ii, 186 leaves
Language: eng

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us