Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952783458> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2952783458 abstract "Let $A$ be a commutative Noetherian ring, and let $R = A[X]$ be the polynomial ring in an infinite collection $X$ of indeterminates over $A$. Let ${mathfrak S}_{X}$ be the group of permutations of $X$. The group ${mathfrak S}_{X}$ acts on $R$ in a natural way, and this in turn gives $R$ the structure of a left module over the left group ring $R[{mathfrak S}_{X}]$. We prove that all ideals of $R$ invariant under the action of ${mathfrak S}_{X}$ are finitely generated as $R[{mathfrak S}_{X}]$-modules. The proof involves introducing a certain well-quasi-ordering on monomials and developing a theory of Grobner bases and reduction in this setting. We also consider the concept of an invariant chain of ideals for finite-dimensional polynomial rings and relate it to the finite generation result mentioned above. Finally, a motivating question from chemistry is presented, with the above framework providing a suitable context in which to study it." @default.
- W2952783458 created "2019-06-27" @default.
- W2952783458 creator A5064221082 @default.
- W2952783458 creator A5039959148 @default.
- W2952783458 date "2004-11-23" @default.
- W2952783458 modified "2023-09-27" @default.
- W2952783458 title "Finite generation of symmetric ideals" @default.
- W2952783458 cites W1495410784 @default.
- W2952783458 cites W1561016548 @default.
- W2952783458 cites W1970784173 @default.
- W2952783458 cites W2031701809 @default.
- W2952783458 cites W2072344182 @default.
- W2952783458 cites W2076508310 @default.
- W2952783458 cites W2110917011 @default.
- W2952783458 cites W2134705851 @default.
- W2952783458 cites W2152949584 @default.
- W2952783458 cites W36824028 @default.
- W2952783458 hasPublicationYear "2004" @default.
- W2952783458 type Work @default.
- W2952783458 sameAs 2952783458 @default.
- W2952783458 citedByCount "1" @default.
- W2952783458 countsByYear W29527834582017 @default.
- W2952783458 crossrefType "posted-content" @default.
- W2952783458 hasAuthorship W2952783458A5039959148 @default.
- W2952783458 hasAuthorship W2952783458A5064221082 @default.
- W2952783458 hasConcept C11252640 @default.
- W2952783458 hasConcept C114614502 @default.
- W2952783458 hasConcept C118615104 @default.
- W2952783458 hasConcept C134306372 @default.
- W2952783458 hasConcept C136119220 @default.
- W2952783458 hasConcept C161491579 @default.
- W2952783458 hasConcept C162860070 @default.
- W2952783458 hasConcept C178790620 @default.
- W2952783458 hasConcept C183778304 @default.
- W2952783458 hasConcept C185592680 @default.
- W2952783458 hasConcept C190470478 @default.
- W2952783458 hasConcept C202444582 @default.
- W2952783458 hasConcept C2777726979 @default.
- W2952783458 hasConcept C2780378348 @default.
- W2952783458 hasConcept C33923547 @default.
- W2952783458 hasConcept C37914503 @default.
- W2952783458 hasConcept C63036529 @default.
- W2952783458 hasConcept C90119067 @default.
- W2952783458 hasConcept C9485509 @default.
- W2952783458 hasConceptScore W2952783458C11252640 @default.
- W2952783458 hasConceptScore W2952783458C114614502 @default.
- W2952783458 hasConceptScore W2952783458C118615104 @default.
- W2952783458 hasConceptScore W2952783458C134306372 @default.
- W2952783458 hasConceptScore W2952783458C136119220 @default.
- W2952783458 hasConceptScore W2952783458C161491579 @default.
- W2952783458 hasConceptScore W2952783458C162860070 @default.
- W2952783458 hasConceptScore W2952783458C178790620 @default.
- W2952783458 hasConceptScore W2952783458C183778304 @default.
- W2952783458 hasConceptScore W2952783458C185592680 @default.
- W2952783458 hasConceptScore W2952783458C190470478 @default.
- W2952783458 hasConceptScore W2952783458C202444582 @default.
- W2952783458 hasConceptScore W2952783458C2777726979 @default.
- W2952783458 hasConceptScore W2952783458C2780378348 @default.
- W2952783458 hasConceptScore W2952783458C33923547 @default.
- W2952783458 hasConceptScore W2952783458C37914503 @default.
- W2952783458 hasConceptScore W2952783458C63036529 @default.
- W2952783458 hasConceptScore W2952783458C90119067 @default.
- W2952783458 hasConceptScore W2952783458C9485509 @default.
- W2952783458 hasLocation W29527834581 @default.
- W2952783458 hasOpenAccess W2952783458 @default.
- W2952783458 hasPrimaryLocation W29527834581 @default.
- W2952783458 hasRelatedWork W1489090944 @default.
- W2952783458 hasRelatedWork W2046648680 @default.
- W2952783458 hasRelatedWork W2076725665 @default.
- W2952783458 hasRelatedWork W2092797910 @default.
- W2952783458 hasRelatedWork W209804793 @default.
- W2952783458 hasRelatedWork W2121086922 @default.
- W2952783458 hasRelatedWork W2125497504 @default.
- W2952783458 hasRelatedWork W2331689145 @default.
- W2952783458 hasRelatedWork W2334449514 @default.
- W2952783458 hasRelatedWork W2484399375 @default.
- W2952783458 hasRelatedWork W2589653604 @default.
- W2952783458 hasRelatedWork W2797973434 @default.
- W2952783458 hasRelatedWork W2887321563 @default.
- W2952783458 hasRelatedWork W2951708738 @default.
- W2952783458 hasRelatedWork W2951980030 @default.
- W2952783458 hasRelatedWork W2963450522 @default.
- W2952783458 hasRelatedWork W2964072198 @default.
- W2952783458 hasRelatedWork W46200121 @default.
- W2952783458 hasRelatedWork W84772786 @default.
- W2952783458 hasRelatedWork W3186106198 @default.
- W2952783458 isParatext "false" @default.
- W2952783458 isRetracted "false" @default.
- W2952783458 magId "2952783458" @default.
- W2952783458 workType "article" @default.