A new measure of growth for countable-dimensional algebras
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- by John Hannah and K. C. O’Meara PDF
- Bull. Amer. Math. Soc. 29 (1993), 223-227 Request permission
Abstract:
A 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.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 29 (1993), 223-227
- MSC (2000): Primary 16P90; Secondary 15A30, 16G99, 16S50
- DOI: https://doi.org/10.1090/S0273-0979-1993-00427-0
- MathSciNet review: 1215312