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On the bandwidth dimension of finite-dimensional associative algebras over a field. (Russian. English summary) Zbl 0866.16015

Summary: The bandwidth dimension function on countable-dimensional algebras over a field is considered. Appropriate infinite matrix representations of some rings which are algebras (including skew polynomial extensions of rings) are constructed. Therefore these rings have zero bandwidth dimension.

MSC:

16P90 Growth rate, Gelfand-Kirillov dimension
16S50 Endomorphism rings; matrix rings
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