O'Meara, Kevin C.2015-12-142015-12-1419930110-537Xhttp://hdl.handle.net/10092/11598A 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.enCopyright Kevin C. O'MearaDiscussion / Working PapersFields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490401 - Algebra and number theory