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dc.contributor.author
Farinati, Marco Andrés
dc.contributor.author
Lombardi, Leandro Ezequiel
dc.date.available
2017-06-26T15:41:09Z
dc.date.issued
2015-04
dc.identifier.citation
Farinati, Marco Andrés; Lombardi, Leandro Ezequiel; A Cacti theoretical interpretation of the axioms of bialgebras and H-module algebras; Elsevier Inc; Journal Of Algebra; 427; 4-2015; 295-316
dc.identifier.issn
0021-8693
dc.identifier.uri
http://hdl.handle.net/11336/18863
dc.description.abstract
We establish a dictionary between the Cacti algebra axioms on a Cacti algebra structure with underlying free associative algebra, under suitable good behavior with degrees. Using these ideas, for an associative algebra A and a bialgebra H, we also translate Cacti algebra maps Ω(H) → C•(A) (where Ω(H) stands for the cobar construction on H and C•(A) is the Hochschild cohomology complex) with H-module algebra structures on A, and illustrate with examples of applications.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Inc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Cacti Operad
dc.subject
Bialgebars And Module Algebras
dc.subject
Gerstenhaber Alegbras
dc.subject
Hochschild Cohomology
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A Cacti theoretical interpretation of the axioms of bialgebras and H-module 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
2017-06-26T14:07:53Z
dc.journal.volume
427
dc.journal.pagination
295-316
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Farinati, Marco Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina
dc.description.fil
Fil: Lombardi, Leandro Ezequiel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Journal Of Algebra
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jalgebra.2014.12.015
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021869314007121
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1404.5225
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