10 citations · 20 across the 13 of their papers we have counts for
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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…