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dc.contributor.author
Suarez, Pamela Yael  
dc.date.available
2022-11-24T18:40:37Z  
dc.date.issued
2019-12  
dc.identifier.citation
Suarez, Pamela Yael; Split-by-Nilpotent Extensions and Support τ-Tilting Modules; Springer; Algebras and Representation Theory; 23; 6; 12-2019; 2295-2313  
dc.identifier.issn
1386-923X  
dc.identifier.uri
http://hdl.handle.net/11336/178891  
dc.description.abstract
Let R be a split extension of A by a nilpotent ideal M. We give necessary and sufficient conditions to ensure when a support τ-tilting R-module induces a support τ-tilting A-module and, conversely, when a support τ-tilting A-module induces a support τ-tilting R-module. We investigate homological relations between A and R. In particular, we prove that if R is of finite global dimension then A is of finite global dimension. As an application, we deduce a bound for the global dimension of the endomorphism algebra of a τ-tilting module over certain algebras.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
GLOBAL DIMENSION  
dc.subject
SPLIT-BY-NILPOTENT EXTENSIONS  
dc.subject
SUPPORT Τ-TILTING MODULES  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Split-by-Nilpotent Extensions and Support τ-Tilting 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
2022-11-22T09:05:42Z  
dc.identifier.eissn
1572-9079  
dc.journal.volume
23  
dc.journal.number
6  
dc.journal.pagination
2295-2313  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Dordrecht  
dc.description.fil
Fil: Suarez, Pamela Yael. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina  
dc.journal.title
Algebras and Representation Theory  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10468-019-09932-1  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10468-019-09932-1