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dc.contributor.author
Cibils, Claude
dc.contributor.author
Redondo, Maria Julia
dc.contributor.author
Solotar, Andrea Leonor
dc.date.available
2022-06-13T14:10:38Z
dc.date.issued
2021-05
dc.identifier.citation
Cibils, Claude; Redondo, Maria Julia; Solotar, Andrea Leonor; Han’s conjecture and hochschild homology for null-square projective algebras; Indiana University; Indiana University Mathematics Journal; 70; 2; 5-2021; 639-668
dc.identifier.issn
0022-2518
dc.identifier.uri
http://hdl.handle.net/11336/159562
dc.description.abstract
Let H be the class of algebras verifying Han’s conjecture. In this paper we analyse two types of algebras with the aim of providing an inductive step towards the proof of this conjecture. First, we show that if an algebra Λ is triangular with respect to a system of non-necessarily primitive idempotents, and if the algebras at the idempotents belong to H, then Λ is in H . Second, we consider a 2 × 2 matrix algebra, with two algebras on the diagonal, two projective bimodules in the corners, and zero corner products. They are not triangular with respect to the system of the two diagonal idempotents. However, the analogous result holds: namely, if both algebras on the diagonal belong to H, then the algebra itself is in H .
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Indiana University
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
GLOBAL DIMENSION
dc.subject
HAN’S CONJECTURE
dc.subject
HOCHSCHILD HOMOLOGY
dc.subject
SMOOTH
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Han’s conjecture and hochschild homology for null-square projective algebras
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-04-28T14:14:08Z
dc.journal.volume
70
dc.journal.number
2
dc.journal.pagination
639-668
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Indiana
dc.description.fil
Fil: Cibils, Claude. No especifíca;
dc.description.fil
Fil: Redondo, Maria Julia. Universidad Nacional del Sur; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Solotar, Andrea Leonor. 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.journal.title
Indiana University Mathematics Journal
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1512/iumj.2021.70.8402
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=8402&year=2021&volume=70
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