There are two kinds of polynomial functions on matrix algebras over commutative rings:
those induced by polynomials with coefficients in the algebra itself and those induced by …

Given a commutative integral domain D with fraction field K, the ring of integer-valued
polynomials on D is Int (D)={f∈ K [x]∣ f (D)⊆ D}. In recent years, attention has turned to …

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 …

We show that every Dedekind domain R lying between the polynomial rings ℤ [X] and ℚ [X]
with the property that its residue fields of prime characteristic are finite fields is equal to a …

Let $ S $ be a subset of $\overline {\mathbb Z} $, the ring of all algebraic integers. A
polynomial $ f\in\mathbb Q [X] $ is said to be integral-valued on $ S $ if $ f (s)\in\overline …

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 …

Let $ p\in\mathbb Z $ be a prime, $\overline {\mathbb Q_p} $ a fixed algebraic closure of the
field of $ p $-adic numbers and $\overline {\mathbb Z_p} $ the absolute integral closure of …

Let D be an integral domain with quotient field K and X an indeterminate over K. The set Int
(D):={f ∈ KX: f (D) ⊆ D\} Int (D):= f∈ KX: f (D)⊆ D, of integer-valued polynomials over D, is …

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 …

Given an integral domain D with quotient field K, the study of the ring of integer-valued
polynomials Int (D)={f∈ K [X]| f (a)∈ D for all a∈ D} has attracted a lot of attention over the …