Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386273136> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W4386273136 abstract "Let $D$ be a Krull domain admitting a prime element with finite residue field and let $K$ be its quotient field. We show that for all positive integers $k$ and $1 < n_1 leq ldots leq n_k$ there exists an integer-valued polynomial on $D$, that is, an element of $text{Int}(D) = { f in K[X] mid f(D) subseteq D }$, which has precisely $k$ essentially different factorizations into irreducible elements of $text{Int}(D)$ whose lengths are exactly $n_1,ldots,n_k$. Using this, we characterize lengths of factorizations when $D$ is a unique factorization domain and therefore also in case $D$ is a discrete valuation domain. This solves an open problem proposed by Cahen, Fontana, Frisch and Glaz." @default.
- W4386273136 created "2023-08-31" @default.
- W4386273136 creator A5006802594 @default.
- W4386273136 creator A5047973029 @default.
- W4386273136 date "2023-08-28" @default.
- W4386273136 modified "2023-09-27" @default.
- W4386273136 title "Lengths of factorizations of integer-valued polynomials on Krull domains with prime elements" @default.
- W4386273136 doi "https://doi.org/10.48550/arxiv.2308.14535" @default.
- W4386273136 hasPublicationYear "2023" @default.
- W4386273136 type Work @default.
- W4386273136 citedByCount "0" @default.
- W4386273136 crossrefType "posted-content" @default.
- W4386273136 hasAuthorship W4386273136A5006802594 @default.
- W4386273136 hasAuthorship W4386273136A5047973029 @default.
- W4386273136 hasBestOaLocation W43862731361 @default.
- W4386273136 hasConcept C11413529 @default.
- W4386273136 hasConcept C114614502 @default.
- W4386273136 hasConcept C118615104 @default.
- W4386273136 hasConcept C134306372 @default.
- W4386273136 hasConcept C144558754 @default.
- W4386273136 hasConcept C17744445 @default.
- W4386273136 hasConcept C184992742 @default.
- W4386273136 hasConcept C185592164 @default.
- W4386273136 hasConcept C187834632 @default.
- W4386273136 hasConcept C199360897 @default.
- W4386273136 hasConcept C199422724 @default.
- W4386273136 hasConcept C199539241 @default.
- W4386273136 hasConcept C200288055 @default.
- W4386273136 hasConcept C202444582 @default.
- W4386273136 hasConcept C2779873844 @default.
- W4386273136 hasConcept C2781025942 @default.
- W4386273136 hasConcept C30860621 @default.
- W4386273136 hasConcept C33923547 @default.
- W4386273136 hasConcept C36503486 @default.
- W4386273136 hasConcept C41008148 @default.
- W4386273136 hasConcept C77926391 @default.
- W4386273136 hasConcept C90119067 @default.
- W4386273136 hasConcept C9652623 @default.
- W4386273136 hasConcept C97137487 @default.
- W4386273136 hasConceptScore W4386273136C11413529 @default.
- W4386273136 hasConceptScore W4386273136C114614502 @default.
- W4386273136 hasConceptScore W4386273136C118615104 @default.
- W4386273136 hasConceptScore W4386273136C134306372 @default.
- W4386273136 hasConceptScore W4386273136C144558754 @default.
- W4386273136 hasConceptScore W4386273136C17744445 @default.
- W4386273136 hasConceptScore W4386273136C184992742 @default.
- W4386273136 hasConceptScore W4386273136C185592164 @default.
- W4386273136 hasConceptScore W4386273136C187834632 @default.
- W4386273136 hasConceptScore W4386273136C199360897 @default.
- W4386273136 hasConceptScore W4386273136C199422724 @default.
- W4386273136 hasConceptScore W4386273136C199539241 @default.
- W4386273136 hasConceptScore W4386273136C200288055 @default.
- W4386273136 hasConceptScore W4386273136C202444582 @default.
- W4386273136 hasConceptScore W4386273136C2779873844 @default.
- W4386273136 hasConceptScore W4386273136C2781025942 @default.
- W4386273136 hasConceptScore W4386273136C30860621 @default.
- W4386273136 hasConceptScore W4386273136C33923547 @default.
- W4386273136 hasConceptScore W4386273136C36503486 @default.
- W4386273136 hasConceptScore W4386273136C41008148 @default.
- W4386273136 hasConceptScore W4386273136C77926391 @default.
- W4386273136 hasConceptScore W4386273136C90119067 @default.
- W4386273136 hasConceptScore W4386273136C9652623 @default.
- W4386273136 hasConceptScore W4386273136C97137487 @default.
- W4386273136 hasLocation W43862731361 @default.
- W4386273136 hasOpenAccess W4386273136 @default.
- W4386273136 hasPrimaryLocation W43862731361 @default.
- W4386273136 hasRelatedWork W1495292653 @default.
- W4386273136 hasRelatedWork W1544131703 @default.
- W4386273136 hasRelatedWork W1973828575 @default.
- W4386273136 hasRelatedWork W2027737491 @default.
- W4386273136 hasRelatedWork W2077760804 @default.
- W4386273136 hasRelatedWork W2375604274 @default.
- W4386273136 hasRelatedWork W2658223328 @default.
- W4386273136 hasRelatedWork W3166212252 @default.
- W4386273136 hasRelatedWork W4283376595 @default.
- W4386273136 hasRelatedWork W4386273136 @default.
- W4386273136 isParatext "false" @default.
- W4386273136 isRetracted "false" @default.
- W4386273136 workType "article" @default.