On gradings of matrix algebras and descent theory

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dc.creatorCaenepeel, S.
dc.creatorDăscălescu, S.
dc.creatorNăstăsescu, C.
dc.date2001-07-20
dc.date.accessioned2026-07-07T04:42:40Z
dc.date.available2026-07-07T04:42:40Z
dc.descriptionWe classify gradings on matrix algebras by a finite abelian group. A grading is called good if all elementary matrices are homogeneous. For cyclic groups, all gradings on a matrix algebra over an algebraically closed field are good. We can count the number of good gradings by a cyclic group. Using descent theory, we classify non-good gradings on a matrix algebra that become good after a base extension.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0107148
dc.identifierhttp://arxiv.org/abs/math/0107148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61877
dc.subjectRings and Algebras
dc.subject16W50
dc.titleOn gradings of matrix algebras and descent theory
dc.typetext

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