A new measure of growth for countable-dimensional algebras II

Type of content
Discussion / Working Papers
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Publisher
University of Canterbury. Dept. of Mathematics
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Date
1993
Authors
O'Meara, Kevin C.
Abstract

A new dimension function on countable-dimensional algebras (over a field) was introduced in the first paper I, 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 GK -dimension.

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Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490401 - Algebra and number theory
Rights
Copyright Kevin C. O'Meara