Let M n (F) denote the ring of n× n matrices with entries from a field F. For a subset S⊆ M n
(F), the null ideal N (S) of S is the set of all polynomials f with coefficients in M n (F) such that …

Let D be a commutative domain with field of fractions K, let A be a torsion-free D-algebra,
and let B be the extension of A to a K-algebra. The set of integer-valued polynomials on A is …

In this paper, we state a generalization of the ring of integer-valued polynomials over upper
triangular matrix rings. The set of integer-valued polynomials over some block matrix rings is …

In this article, we study the ring of integer-valued polynomials over some matrix rings. Let D
be an integral domain with the field of fractions K and I be an ideal of D. We introduce Int (M …

Let $ R $ be a commutative ring and $ M_n (R) $ be the ring of $ n\times n $ matrices with
entries from $ R $. For each $ S\subseteq M_n (R) $, we consider its (generalized) null ideal …

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 …

S. Frisch, showed that the integer-valued polynomials on upper triangular matrix ring Int T n
(K)(T n (D)):={f∈ T n (K)[x]| f (T n (D))⊆ T n (D)} is a ring, where D is an integral domain with …

In this paper, we study the ring of integer-valued polynomials Int (M_n (O _K)):={f ∈ M_n (K)
x~|~ f (M_n (O _K)) ⊆ M_n (O _K)\} Int (M n (OK)):= f∈ M n (K) x| f (M n (OK))⊆ M n (OK) …

Let M be a module over a commutative ring R. In this paper, we study Int (R, M), the module
of integer-valued polynomials on M over R, and Int M (R), the ring of integer-valued …

For a commutative integral domain D with field of fractions K, the ring of integer-valued
polynomials on D is Int (D)={f∈ K [x]| f (a)∈ D for all a∈ D}. In this paper, we extend this …