Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952172539> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2952172539 abstract "Let S be an abelian semigroup, written additively. Let A be a finite subset of S. We denote the cardinality of A by |A|. For any positive integer h, the sumset hA is the set of all sums of h not necessarily distinct elements of A. We define 0A = {0}. If A_1,...,A_r, and B are finite sumsets of A and h_1,...,h_r are nonnegative integers, the sumset h_1A + ... + h_rA_r + B is the set of all elements of S that can be represented in the form u_1 + ... + u_r + b, where u_i in h_iA_i and b in B. The growth function of this sumset is gamma(h_1,...,h_r) = |h_1A + ... + h_rA_r + B|. Applying the Hilbert function for graded modules over graded algebras, where the grading is over the semigroup of r-tuples of nonnegative integers, we prove that there is a polynomial p(t_1,...,t_r) such that gamma(h_1,...,h_r) = p(t_1,...,t_r) if min(h_1,...,h_r) is sufficienlty large." @default.
- W2952172539 created "2019-06-27" @default.
- W2952172539 creator A5024903213 @default.
- W2952172539 date "2000-02-11" @default.
- W2952172539 modified "2023-09-27" @default.
- W2952172539 title "Growth of sumsets in abelian semigroups" @default.
- W2952172539 hasPublicationYear "2000" @default.
- W2952172539 type Work @default.
- W2952172539 sameAs 2952172539 @default.
- W2952172539 citedByCount "0" @default.
- W2952172539 crossrefType "posted-content" @default.
- W2952172539 hasAuthorship W2952172539A5024903213 @default.
- W2952172539 hasConcept C114614502 @default.
- W2952172539 hasConcept C118615104 @default.
- W2952172539 hasConcept C124101348 @default.
- W2952172539 hasConcept C134306372 @default.
- W2952172539 hasConcept C136170076 @default.
- W2952172539 hasConcept C14036430 @default.
- W2952172539 hasConcept C199360897 @default.
- W2952172539 hasConcept C207405024 @default.
- W2952172539 hasConcept C33923547 @default.
- W2952172539 hasConcept C41008148 @default.
- W2952172539 hasConcept C78458016 @default.
- W2952172539 hasConcept C86803240 @default.
- W2952172539 hasConcept C87117476 @default.
- W2952172539 hasConcept C90119067 @default.
- W2952172539 hasConcept C97137487 @default.
- W2952172539 hasConceptScore W2952172539C114614502 @default.
- W2952172539 hasConceptScore W2952172539C118615104 @default.
- W2952172539 hasConceptScore W2952172539C124101348 @default.
- W2952172539 hasConceptScore W2952172539C134306372 @default.
- W2952172539 hasConceptScore W2952172539C136170076 @default.
- W2952172539 hasConceptScore W2952172539C14036430 @default.
- W2952172539 hasConceptScore W2952172539C199360897 @default.
- W2952172539 hasConceptScore W2952172539C207405024 @default.
- W2952172539 hasConceptScore W2952172539C33923547 @default.
- W2952172539 hasConceptScore W2952172539C41008148 @default.
- W2952172539 hasConceptScore W2952172539C78458016 @default.
- W2952172539 hasConceptScore W2952172539C86803240 @default.
- W2952172539 hasConceptScore W2952172539C87117476 @default.
- W2952172539 hasConceptScore W2952172539C90119067 @default.
- W2952172539 hasConceptScore W2952172539C97137487 @default.
- W2952172539 hasLocation W29521725391 @default.
- W2952172539 hasOpenAccess W2952172539 @default.
- W2952172539 hasPrimaryLocation W29521725391 @default.
- W2952172539 hasRelatedWork W1578211327 @default.
- W2952172539 hasRelatedWork W1890483258 @default.
- W2952172539 hasRelatedWork W1981823741 @default.
- W2952172539 hasRelatedWork W2026445402 @default.
- W2952172539 hasRelatedWork W2027443207 @default.
- W2952172539 hasRelatedWork W2053544129 @default.
- W2952172539 hasRelatedWork W2083779837 @default.
- W2952172539 hasRelatedWork W2130822417 @default.
- W2952172539 hasRelatedWork W2170598518 @default.
- W2952172539 hasRelatedWork W2279714906 @default.
- W2952172539 hasRelatedWork W2310542522 @default.
- W2952172539 hasRelatedWork W2322063353 @default.
- W2952172539 hasRelatedWork W2332937418 @default.
- W2952172539 hasRelatedWork W2559945514 @default.
- W2952172539 hasRelatedWork W2950192259 @default.
- W2952172539 hasRelatedWork W3013915327 @default.
- W2952172539 hasRelatedWork W3028117659 @default.
- W2952172539 hasRelatedWork W3036252295 @default.
- W2952172539 hasRelatedWork W3106356904 @default.
- W2952172539 hasRelatedWork W3141416181 @default.
- W2952172539 isParatext "false" @default.
- W2952172539 isRetracted "false" @default.
- W2952172539 magId "2952172539" @default.
- W2952172539 workType "article" @default.