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dc.contributor.author
Schroll, Sibylle  
dc.contributor.author
Tattar, Aran  
dc.contributor.author
Treffinger Cienfuegos, Hipolito José  
dc.contributor.author
Valdivieso, Yadira  
dc.contributor.author
Williams, Nicholas J.  
dc.date.available
2024-05-08T14:24:47Z  
dc.date.issued
2024-04  
dc.identifier.citation
Schroll, Sibylle; Tattar, Aran; Treffinger Cienfuegos, Hipolito José; Valdivieso, Yadira; Williams, Nicholas J.; Stability spaces of string and band modules; Elsevier Science; Journal Of Pure And Applied Algebra; 228; 4; 4-2024; 1-30  
dc.identifier.issn
0022-4049  
dc.identifier.uri
http://hdl.handle.net/11336/234932  
dc.description.abstract
The stability space of a module is the cone of vectors which make the module semistable. These cones are defined in terms of inequalities; in this paper we draw insights from considering the dual description in terms of non-negative linear spans. We show how stability spaces of thin modules are related to order polytopes. In the case of non-thin modules, we show how the stability spaces of string and band modules are related to the stability spaces of the thin modules corresponding to the abstract string and band. We use this to analyse the way in which the stability space of a band module is the limit of stability spaces of string modules. Namely, the stability space of the band module is a union of cones, each of which is the limit of the stability spaces of a family of string modules.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/  
dc.subject
STABILITY CONDITIONS  
dc.subject
STRING MODULES  
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BAND MODULES  
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SPECIAL BISERIAL ALGEBRAS  
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CONES  
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ORDER POLYTOPES  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
Stability spaces of string and band modules  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-05-03T13:58:12Z  
dc.journal.volume
228  
dc.journal.number
4  
dc.journal.pagination
1-30  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Schroll, Sibylle. University of Cologne; Alemania  
dc.description.fil
Fil: Tattar, Aran. University of Cologne; Alemania  
dc.description.fil
Fil: Treffinger Cienfuegos, Hipolito José. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Valdivieso, Yadira. Universidad de Las Américas Puebla; México  
dc.description.fil
Fil: Williams, Nicholas J.. Lancaster University; Reino Unido  
dc.journal.title
Journal Of Pure And Applied Algebra  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jpaa.2023.107503  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022404923001858  

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