Let $ R $ be a finite non-commutative ring with $1\ne 0$. By a polynomial function on $ R $,
we mean a function $ F\colon R\longrightarrow R $ induced by a polynomial $ f=\sum\limits …

Let $ R $ be either the ring of Lipschitz quaternions, or the ring of Hurwitz quaternions. Then,
$ R $ is a subring of the division ring $\mathbb {D} $ of rational quaternions. For …

Let $ D $ be an integral domain and $ I $ be an ideal of the upper trangular matrix ring $ T_
{n}(D) $. In this paper, we study the equalizing ideal $$ q_ {I}=\{A\in T_n (D)| f (A)-f (0)\in …

EQUALIZING IDEAL FOR INTEGER-VALUED POLYNOMIALS OVER THE UPPER
TRIANGULAR MATRIX RING 1. Introduction Let Z and Q denote the set Page 1 http://math-sci.ui.ac.ir …