118 citations · 330 across the 37 of their papers we have counts for
4 papers · 1 filter
On the accuracy and stability of algorithms most commonly used in the evaluation of Chebyshev polynomials of the first kind
Alicja Smoktunowicz, Agata Smoktunowicz, Ewa Pawelec
This paper provides error analyses of the algorithms most commonly used for the evaluation of the Chebyshev polynomial of the first kind . Some of these algorithms are show…
Differential poynomial rings over locally nilpotent rings need not be Jacobson radical
Agata Smoktunowicz, Michal Ziembowski
We answer a question by Shestakov on the Jacobson radical in differential polynomial rings. We show that if R is a locally nilpotent ring with a derivation D then R[X;D] need not b…
Growth, entropy and commutativity of algebras satisfying prescribed relations
Agata Smoktunowicz
In 1964, Golod and Shafarevich found that, provided that the number of relations of each degree satisfy some bounds, there exist infinitely dimensional algebras satisfying the rela…
A note on Nil and Jacobson radicals in graded rings
Agata Smoktunowicz
It was shown by Bergman that the Jacobson radical of a Z-graded ring is homogeneous. This paper shows that the analogous result holds for nil rings, namely, that the nil radical of…