Cohomology of split algebras and of trivial extensions

dc.creatorCibils, Claude
dc.creatorMarcos, Eduardo
dc.creatorRedondo, Maria Julia
dc.creatorSolotar, Andrea Leonor
dc.date.accessioned2020-01-21T00:28:38Z
dc.date.accessioned2022-10-15T16:38:23Z
dc.date.available2020-01-21T00:28:38Z
dc.date.available2022-10-15T16:38:23Z
dc.date.created2020-01-21T00:28:38Z
dc.date.issued2003-01
dc.identifierCibils, Claude; Marcos, Eduardo; Redondo, Maria Julia; Solotar, Andrea Leonor; Cohomology of split algebras and of trivial extensions; Cambridge University Press; Glasgow Mathematical Journal; 45; 1; 1-2003; 21-40
dc.identifier0017-0895
dc.identifierhttp://hdl.handle.net/11336/95372
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4410254
dc.description.abstractWe consider associative algebras λ over a field provided with a direct sum decomposition of a two-sided ideal M and a sub-algebra A - examples are provided by trivial extensions or triangular type matrix algebras. In this relative and split setting we describe a long exact sequence computing the Hochschild cohomology of λ. We study the connecting homomorphism using the cup-product and we infer several results, in particular the first Hochschild cohomology group of a trivial extension never vanishes.
dc.languageeng
dc.publisherCambridge University Press
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/math/0102194
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/S0017089502008959
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/cohomology-of-split-algebras-and-of-trivial-extensions/A62AFBA3F9766FD23EA5A08B4232F19E
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleCohomology of split algebras and of trivial extensions
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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