4 papers
P-adic approximation of algebraic integers and residue class rings of rings of integer-valued polynomials
Sophie Frisch, Franz Halter-Koch
Let F:K be a Galois extension of number fields and Q a prime ideal of O_F lying over the prime P of O_K. By analyzing the Q-adic closure of O_K in O_F we characterize those rings o…
Primes and absolutely or non-absolutely irreducible elements in atomic domains
Victor Fadinger, Sophie Frisch, Sarah Nakato +2
We give examples of atomic integral domains satisfying each of the eight logically possible combinations of existence or non-existence of the following kinds of elements: 1) primes…
A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator
Sophie Frisch, Sarah Nakato
An irreducible element of a commutative ring is absolutely irreducible if no power of it has more than one (essentially different) factorization into irreducibles. In the case of t…
Polynomial functions on non-commutative rings - a link between ringsets and null-ideal sets
Sophie Frisch
Regarding polynomial functions on a subset of a non-commutative ring , that is, functions induced by polynomials in (whose variable commutes with the coefficients), w…