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dc.contributor.author
Redondo, Maria Julia
dc.contributor.author
Roman, Lucrecia Juliana
dc.date.available
2018-11-16T20:36:43Z
dc.date.issued
2017-07
dc.identifier.citation
Redondo, Maria Julia; Roman, Lucrecia Juliana; Comparison morphisms between two projective resolutions of monomial algebras; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 59; 1; 7-2017; 1-31
dc.identifier.issn
0041-6932
dc.identifier.uri
http://hdl.handle.net/11336/64674
dc.description.abstract
We construct comparison morphisms between two well-known projective resolutions of a monomial algebra A : the bar resolution Bar A and Bardzell’s resolution Ap A ; the first one is used to define the cup product and the Lie bracket on the Hochschild cohomology HH ∗ ( A ) and the second one has been shown to be an efficient tool for computation of these cohomology groups. The constructed comparison morphisms allow us to show that the cup product restricted to even degrees of the Hochschild cohomology has a very simple description. Moreover, for A = k Q/I a monomial algebra such that dim k e i Ae j = 1 whenever there exists an arrow α : i → j ∈ Q 1 , we describe the Lie action of the Lie algebra HH 1 ( A ) on HH ∗ ( A ).
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Unión Matemática Argentina
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Algebra
dc.subject
Cohomology
dc.subject
Morphisms
dc.subject
Comparison
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Comparison morphisms between two projective resolutions of monomial 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
2018-09-18T14:25:52Z
dc.identifier.eissn
1669-9637
dc.journal.volume
59
dc.journal.number
1
dc.journal.pagination
1-31
dc.journal.pais
Argentina
dc.journal.ciudad
Bahia Blanca
dc.description.fil
Fil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.description.fil
Fil: Roman, Lucrecia Juliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.journal.title
Revista de la Unión Matemática Argentina
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://inmabb.criba.edu.ar/revuma/pdf/v59n1/v59n1a01.pdf
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1612.02308
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