Static Subcategories of the Module Category of a Finite-Dimensional Hereditary Algebra

Let k be a field, Λ a finite-dimensional hereditary k-algebra, and modΛ the category of all finite-dimensional Λ-modules. We are going to characterize the representation type of Λ (tame or wild) in terms of the possible subcategories statM of all M-static modules, where M is an indecomposable Λ-modu...

Full description

Saved in:
Bibliographic Details
Published in:Communications in algebra 2016-06, Vol.44 (6), p.2531-2546
Main Authors: Obaid, Mustafa A. A., Nauman, S. Khalid, Fakieh, Wafaa M., Ringel, Claus Michael
Format: Article
Language:English
Subjects:
ab-projective modules
Algebra
Bricks
Categories
Finite-dimensional hereditary algebras
M-adstatic modules
M-static modules
Modules
Nakayama algebras
Primary: 16G20
Representation types
Representations
Secondary: 16D90
Tame, and wild and strictly wild
The smallest exact abelian subcategory containing a given module
Triple modules
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let k be a field, Λ a finite-dimensional hereditary k-algebra, and modΛ the category of all finite-dimensional Λ-modules. We are going to characterize the representation type of Λ (tame or wild) in terms of the possible subcategories statM of all M-static modules, where M is an indecomposable Λ-module.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2015.1053902