scholarly journals The Ziegler spectrum of the $D$-infinity plane singularity

2019 ◽  
Vol 157 (1) ◽  
pp. 35-63
Author(s):  
Inna Los ◽  
Gena Puninski
Keyword(s):  
Ziegler Spectrum

scholarly journals Triangulated Categories and the Ziegler Spectrum

2005 ◽  
Vol 8 (4) ◽  
pp. 499-523 ◽  
Author(s):  
Grigory Garkusha ◽  
Mike Prest
Keyword(s):  
Triangulated Categories ◽  
Ziegler Spectrum

scholarly journals Pure-injectivity and model theory for G-sets

2009 ◽  
Vol 74 (2) ◽  
pp. 474-488
Author(s):  
Ravi Rajani ◽  
Mike Prest
Keyword(s):  
Model Theory ◽  
Injective Modules ◽  
Ziegler Spectrum

AbstractIn the model theory of modules the Ziegler spectrum, the space of indecomposable pure-injective modules, has played a key role. We investigate the possibility of defining a similar space in the context of G-sets where G is a group.

DECIDABILITY OF MODULES OVER A BÉZOUT DOMAIN D+XQ[X] WITH D A PRINCIPAL IDEAL DOMAIN AND Q ITS FIELD OF FRACTIONS

2014 ◽  
Vol 79 (01) ◽  
pp. 296-305 ◽  
Author(s):  
GENA PUNINSKI ◽  
CARLO TOFFALORI
Keyword(s):  
Principal Ideal ◽  
Principal Ideal Domain ◽  
Bezout Domain ◽  
Ideal Domain ◽  
Ziegler Spectrum

Abstract We describe the Ziegler spectrum of a Bézout domain B=D+XQ[X] where D is a principal ideal domain and Q is its field of fractions; in particular we compute the Cantor–Bendixson rank of this space. Using this, we prove the decidability of the theory of B-modules when D is “sufficiently” recursive.

scholarly journals The torsion‐free part of the Ziegler spectrum of orders over Dedekind domains

2020 ◽  
Vol 66 (1) ◽  
pp. 20-36
Author(s):  
Lorna Gregory ◽  
Sonia L'Innocente ◽  
Carlo Toffalori
Keyword(s):  
Free Part ◽  
Dedekind Domains ◽  
Ziegler Spectrum ◽  
Torsion Free

scholarly journals THE GABRIEL-ROITER FILTRATION OF THE ZIEGLER SPECTRUM

2012 ◽  
Vol 64 (3) ◽  
pp. 891-901 ◽  
Author(s):  
H. Krause ◽  
M. Prest
Keyword(s):  
Ziegler Spectrum
Sign in / Sign up

Export Citation Format

Share Document