Back to Search Start Over

THE GABRIEL–ROITER FILTRATION OF THE ZIEGLER SPECTRUM.

Authors :
Krause, Henning
Prest, Mike
Source :
Quarterly Journal of Mathematics. Sep2013, Vol. 64 Issue 3, p891-901. 11p.
Publication Year :
2013

Abstract

Inclusion-preserving maps from modules over an Artin algebra to complete partially ordered sets are studied. This yields a filtration of the Ziegler spectrum that is indexed by all Gabriel–Roiter measures. Another application is a compactness result for the set of subcategories of finitely presented modules that are closed under submodules. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*SPECTRUM analysis
*SEQUENCE analysis
*ARTIN algebras
*MODULES (Algebra)
*SET theory
*DIFFERENTIAL inclusions

Details

Language :
English
ISSN :
00335606
Volume :
64
Issue :
3
Database :
Academic Search Index
Journal :
Quarterly Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
89865925
Full Text :
https://doi.org/10.1093/qmath/has020
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details