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A New Measure of Growth for Countable-Dimensional Algebras II

โœ Scribed by K.C. Omeara

Book ID
102969980
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
926 KB
Volume
172
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

A new dimension function on countable-dimensional algebras (over a field) was introduced in the first paper on this subject by means of certain infinite matrix representations. Here we show that its dimension values for finitely generated algebras exactly fill the unit interval ([0,1]). This suggests that the dimension is somewhat smoother than the GK-dimension. 1995 Academic Press, Inc.

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