10 citations · 20 across the 13 of their papers we have counts for
15 papers
Estimation of calculation errors and resolution of singularities
Victor Fadinger-Held, Daniel Windisch
There are two possible answers to "". Either "this is completely wrong" or "I assume, you are in characteristic ". If we go for the first answer, we could a…
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…
Dependency equilibria: Boundary cases and their real algebraic geometry
Irem Portakal, Daniel Windisch
This paper is a significant step forward in understanding dependency equilibria within the framework of real algebraic geometry encompassing both pure and mixed equilibria. In alig…
On the arithmetic of ultraproducts of commutative cancellative monoids
Daniel Windisch
We develop first steps in the study of factorizations of elements in ultraproducts of commutative cancellative monoids into irreducible elements. A complete characterization of the…
Irreducibility properties of Carlitz' binomial coefficients for algebraic function fields
Robert Tichy, Daniel Windisch
We study the class of univariate polynomials , introduced by Carlitz, with coefficients in the algebraic function field over the finite field …
Lengths of factorizations of integer-valued polynomials on Krull domains with prime elements
Victor Fadinger, Daniel Windisch
Let be a Krull domain admitting a prime element with finite residue field and let be its quotient field. We show that for all positive integers and $1 < n_1 \leq \ldots…
On local divisor class groups of complete intersections
Daniel Windisch
Samuel conjectured in 1961 that a (Noetherian) local complete intersection ring that is a UFD in codimension at most three is itself a UFD. It is said that Grothendieck invented lo…
Integer-valued polynomials on discrete valuation rings of global fields with prescribed lengths of factorizations
Victor Fadinger, Sophie Frisch, Daniel Windisch
Let be a valuation ring of a global field . We show that for all positive integers and there exists an integer-valued polynomial on , t…
Semigroup rings as weakly Krull domains
Gyu Whan Chang, Victor Fadinger, Daniel Windisch
Let be an integral domain and be a torsion-free commutative cancellative (additive) semigroup with identity element and quotient group . In this paper, we show that if c…
Equivalent characterizations of non-Archimedean uniform spaces
Daniel Windisch
In this paper, we deal with uniform spaces whose diagonal uniformity admits a basis consisting of equivalence relations. Such non-Archimedean uniform spaces are particularly intere…
On the distribution of prime divisors in class groups of affine monoid algebras
Victor Fadinger, Daniel Windisch
We investigate the class groups and the distribution of prime divisors in affine monoid algebras over fields and thereby extend the result of Kainrath that every finitely generated…
On the distribution of prime divisors in Krull monoid algebras
Victor Fadinger, Daniel Windisch
In the present work, we prove that every class of the divisor class group of a Krull monoid algebra contains infinitely many prime divisors. Several attempts to this result have be…
A characterization of weakly Krull monoid algebras
Victor Fadinger, Daniel Windisch
Let be a domain and let be a torsion-free monoid whose quotient group satisfies the ascending chain condition on cyclic subgroups. We give a characterization of when the mo…
Prime ideals in infinite products of commutative rings
Carmelo A. Finocchiaro, Sophie Frisch, Daniel Windisch
We describe the prime ideals and, in particular, the maximal ideals in products of families of commutative rings. We show that every maximal ideal…
Absolute irreducibility of the binomial polynomials
Roswitha Rissner, Daniel Windisch
In this paper we investigate the factorization behaviour of the binomial polynomials and their powers in the ring of integer-valued…