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dc.contributor.author
Cibils, Claude
dc.contributor.author
Lanzilotta, Marcelo
dc.contributor.author
Marcos, Eduardo N.
dc.contributor.author
Schroll, Sibylle
dc.contributor.author
Solotar, Andrea Leonor
dc.date.available
2021-07-19T12:50:35Z
dc.date.issued
2019-12
dc.identifier.citation
Cibils, Claude; Lanzilotta, Marcelo; Marcos, Eduardo N.; Schroll, Sibylle; Solotar, Andrea Leonor; The first Hochschild (co)homology when adding arrows to a bound quiver algebra; Academic Press Inc Elsevier Science; Journal of Algebra; 540; 12-2019; 63-77
dc.identifier.issn
0021-8693
dc.identifier.uri
http://hdl.handle.net/11336/136398
dc.description.abstract
We provide a formula for the change of the dimension of the first Hochschild cohomology vector space of bound quiver algebras when adding new arrows. For this purpose we show that there exists a short exact sequence which relates the first cohomology vector spaces of the algebras to the first relative cohomology. Moreover, we show that the first Hochschild homologies are isomorphic when adding new arrows.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ARROW
dc.subject
COHOMOLOGY
dc.subject
HOCHSCHILD
dc.subject
HOMOLOGY
dc.subject
QUIVER
dc.subject
RELATIVE
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
The first Hochschild (co)homology when adding arrows to a bound quiver algebra
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-11-27T18:10:32Z
dc.journal.volume
540
dc.journal.pagination
63-77
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Cibils, Claude. Université Montpellier II; Francia
dc.description.fil
Fil: Lanzilotta, Marcelo. Universidad de la República; Uruguay
dc.description.fil
Fil: Marcos, Eduardo N.. Universidade de Sao Paulo; Brasil
dc.description.fil
Fil: Schroll, Sibylle. University of Leicester; Reino Unido
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
dc.journal.title
Journal of Algebra
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jalgebra.2019.08.029
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0021869319304879?via%3Dihub
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