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- Mbarara University of Science and TechnologyUG2 papers
- University of KlagenfurtAT2 papers
- Ethiopian Space Science and Technology InstituteET1 paper
- Graz University of TechnologyAT1 paper
- Institute of Mathematics, Physics, and MechanicsSI1 paper
- Islamic University in UgandaUG1 paper
- KU LeuvenBE1 paper
- Muni UniversityUG1 paper
- The University of DodomaTZ1 paper
- Université du BurundiBI1 paper
- University of GrazAT1 paper
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Sets of Lengths of Integer-Valued Polynomials on Prime Ideals of Principal Ideal Domains
Zaituni Kansiime, Sholastica Luambano, Sarah Nakato +2
Let be a principal ideal domain with infinite spectrum such that for every nonzero prime ideal of , the residue field is finite. Let be the quotient field of $…
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…
Irreducible integer-valued polynomials with prescribed minimal power that factors non-uniquely
Sarah Nakato, Roswitha Rissner
We study the question up to which power an irreducible integer-valued polynomial that is not absolutely irreducible can factor uniquely. For example, for integer-valued polynomials…
Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains
Moritz Hiebler, Sarah Nakato, Roswitha Rissner
Rings of integer-valued polynomials are known to be atomic, non-factorial rings furnishing examples for both irreducible elements for which all powers factor uniquely (\emph{absolu…