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math.AC2024
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…
math.AC2019
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…