Cohomology of split algebras and of trivial extensions

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dc.creatorCibils, Claude
dc.creatorMarcos, Eduardo
dc.creatorRedondo, Maria Julia
dc.creatorSolotar, Andrea
dc.date2001-02-26
dc.date2002-07-05
dc.date.accessioned2026-07-07T04:40:22Z
dc.date.available2026-07-07T04:40:22Z
dc.descriptionWe consider associative algebras L 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 L. 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.identifierhttps://arxiv.org/abs/math/0102194
dc.identifierhttp://arxiv.org/abs/math/0102194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61003
dc.subjectK-Theory and Homology
dc.subjectRings and Algebras
dc.subject16E40, 16D20
dc.titleCohomology of split algebras and of trivial extensions
dc.typetext

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