On restrictions of indecomposables of tame algebras

R. Bautista; E. Pérez; L. Salmerón

Colloquium Mathematicae (2011)

  • Volume: 124, Issue: 1, page 35-60
  • ISSN: 0010-1354

Abstract

top
We continue the study of ditalgebras, an acronym for "differential tensor algebras", and of their categories of modules. We examine extension/restriction interactions between module categories over a ditalgebra and a proper subditalgebra. As an application, we prove a result on representations of finite-dimensional tame algebras Λ over an algebraically closed field, which gives information on the extension/restriction interaction between module categories of some special algebras Λ₀, called convex in Λ.

How to cite

top

R. Bautista, E. Pérez, and L. Salmerón. "On restrictions of indecomposables of tame algebras." Colloquium Mathematicae 124.1 (2011): 35-60. <http://eudml.org/doc/286501>.

@article{R2011,
abstract = {We continue the study of ditalgebras, an acronym for "differential tensor algebras", and of their categories of modules. We examine extension/restriction interactions between module categories over a ditalgebra and a proper subditalgebra. As an application, we prove a result on representations of finite-dimensional tame algebras Λ over an algebraically closed field, which gives information on the extension/restriction interaction between module categories of some special algebras Λ₀, called convex in Λ.},
author = {R. Bautista, E. Pérez, L. Salmerón},
journal = {Colloquium Mathematicae},
keywords = {differential tensor algebras; ditalgebras; convex algebras; tame algebras; reduction functors; bocses; categories of modules},
language = {eng},
number = {1},
pages = {35-60},
title = {On restrictions of indecomposables of tame algebras},
url = {http://eudml.org/doc/286501},
volume = {124},
year = {2011},
}

TY - JOUR
AU - R. Bautista
AU - E. Pérez
AU - L. Salmerón
TI - On restrictions of indecomposables of tame algebras
JO - Colloquium Mathematicae
PY - 2011
VL - 124
IS - 1
SP - 35
EP - 60
AB - We continue the study of ditalgebras, an acronym for "differential tensor algebras", and of their categories of modules. We examine extension/restriction interactions between module categories over a ditalgebra and a proper subditalgebra. As an application, we prove a result on representations of finite-dimensional tame algebras Λ over an algebraically closed field, which gives information on the extension/restriction interaction between module categories of some special algebras Λ₀, called convex in Λ.
LA - eng
KW - differential tensor algebras; ditalgebras; convex algebras; tame algebras; reduction functors; bocses; categories of modules
UR - http://eudml.org/doc/286501
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.