Wreath product decompositions for triangular matrix semigroups

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dc.creatorKambites, Mark
dc.creatorSteinberg, Benjamin
dc.date2005-12-01
dc.date.accessioned2026-07-07T06:54:45Z
dc.date.available2026-07-07T06:54:45Z
dc.descriptionWe consider wreath product decompositions for semigroups of triangular matrices. We exhibit an explicit wreath product decomposition for the semigroup of all n-by-n upper triangular matrices over a given field k, in terms of aperiodic semigroups and affine groups over k. In the case that k is finite this decomposition is optimal, in the sense that the number of group terms is equal to the group complexity of the semigroup. We also obtain some decompositions for semigroups of triangular matrices over more general rings and semirings.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0512024
dc.identifierhttp://arxiv.org/abs/math/0512024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106050
dc.subjectRings and Algebras
dc.subject20M10; 20M30
dc.titleWreath product decompositions for triangular matrix semigroups
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