On the bandwidth dimension of finite-dimensional associative algebras over a field
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 385-391
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In this paper 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 got zero bandwidth dimension.
[1] K. R. Goodearl, P. Menal, J. Moncasi, “Free and residually artinian regular rings”, J. Algebra (to appear) | MR
[2] N. Dzhekobson, Stroenie kolets, Izd-vo inostrannoi literatury, M., 1961 | MR
[3] D. V. Tjukavkin, “Rings all of whose one-sided ideals are generated by idempotents”, Communications in Algebra, 17:5 (1989), 1193–1198 | DOI | MR | Zbl
[4] J. Hannah, K. C. O'Meara, “A new measure of growth for countable-dimension algebra I” (to appear)