Blake Madill

activity

20122015

most citedDifferential polynomial rings over rings satisfying a polynomial identity

16 citations · 16 across the 4 of their papers we have counts for

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math.RA2014

On the Jacobson radical of skew polynomial extensions of rings satisfying a polynomial identity

Blake W. Madill

Let $R$ be a ring satisfying a polynomial identity and let $D$ be a derivation of $R$ . We consider the Jacobson radical of the skew polynomial ring $R [x; D]$ with coefficients in $R…

math.RA2014★ 16 cited

Differential polynomial rings over rings satisfying a polynomial identity

Jason P. Bell, Blake W. Madill, Forte Shinko

Let $R$ be a ring satisfying a polynomial identity and let $δ$ be a derivation of $R$ . We show that if $N$ is the nil radical of $R$ then $δ (N) \subseteq N$ and the Jacobson radical…