Nick Roersma's scientific contributions

Publication (1)

Full-text available
Let R be a commutative ring with identity. In this paper we examine a type of factorization called a U-factorization. We classify all possible rearrangements of U-factorizations and extend several results concerning finite factorization properties to U-factorizations. We explore the close relationship between a U-factorization in a ring R and a fac...


... Corollary 3. 13. Let R be a ring, {X λ } λ∈Λ be a nonempty family of algebraically independent indeterminates, α ∈ {UFD, UFR, v-UHR, UHR}, and β ∈ {UWHR, factorial ring, pfactorial ring}. ...