16 citations · 16 across the 4 of their papers we have counts for
5 papers
On the upper nilradical and Jacobson radical of rings graded by t.u.p.-semigroups
Blake W. Madill
Given a t.u.p.-semigroup (two unique product semigroup) , we show if is an -graded ring then both its nilradical and Jacobson radical are homogeneous. This partially answ…
Iterative algebras
Jason P. Bell, Blake W. Madill
Given a finitely generated free monoid and a morphism , we show that one can construct an algebra, which we call an iterative algebra, in a natural way. We show that…
On the Jacobson radical of skew polynomial extensions of rings satisfying a polynomial identity
Blake W. Madill
Let be a ring satisfying a polynomial identity and let be a derivation of . We consider the Jacobson radical of the skew polynomial ring with coefficients in $R…
Differential polynomial rings over rings satisfying a polynomial identity
Jason P. Bell, Blake W. Madill, Forte Shinko
Let be a ring satisfying a polynomial identity and let be a derivation of . We show that if is the nil radical of then and the Jacobson radical…
The abelian complexity of the paperfolding word
Blake Madill, Narad Rampersad
We show that the abelian complexity function of the ordinary paperfolding word is a 2-regular sequence.