A new measure of growth for countable-dimensional algebras

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dc.creatorHannah, John
dc.creatorO'Meara, K. C.
dc.date1993-10-01
dc.date.accessioned2026-07-07T09:14:59Z
dc.date.available2026-07-07T09:14:59Z
dc.descriptionA new dimension function on countable-dimensional algebras (over a field) is described. Its dimension values for finitely generated algebras exactly fill the unit interval $[0,1]$. Since the free algebra on two generators turns out to have dimension 0 (although conceivably some Noetherian algebras might have positive dimension!), this dimension function promises to distinguish among algebras of infinite GK-dimension.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/9310230
dc.identifierhttp://arxiv.org/abs/math/9310230
dc.identifierBull. Amer. Math. Soc. (N.S.) 29 (1993) 223-227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152874
dc.subjectRings and Algebras
dc.titleA new measure of growth for countable-dimensional algebras
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