Matches in SemOpenAlex for { <https://semopenalex.org/work/W2065374967> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W2065374967 abstract "Let $Q$ be a wild $n$-Kronecker quiver, i.e., a quiver with two vertices, labeled by 1 and 2, and $ngeq 3$ arrows from 2 to 1. The indecomposable regular modules with preprojective Gabriel-Roiter submodules, in particular, those $tau^{-i}X$ with $udim X=(1,c)$ for $igeq 0$ and some $1leq cleq n-1$ will be studied. It will be shown that for each $igeq 0$ the irreducible monomorphisms starting with $tau^{-i}X$ give rise to a sequence of Gabriel-Roiter inclusions, and moreover, the Gabriel-Roiter measures of those produce a sequence of direct successors. In particular, there are infinitely many GR-segments, i.e., a sequence of Gabriel-Roiter measures closed under direct successors and predecessors. The case $n=3$ will be studied in detail with the help of Fibonacci numbers. It will be proved that for a regular component containing some indecomposable module with dimension vector $(1,1)$ or $(1,2)$, the Gabriel-Roiter measures of the indecomposable modules are uniquely determined by their dimension vectors." @default.
- W2065374967 created "2016-06-24" @default.
- W2065374967 creator A5076036562 @default.
- W2065374967 date "2010-01-27" @default.
- W2065374967 modified "2023-10-07" @default.
- W2065374967 title "Regular modules with preprojective Gabriel-Roiter submodules over $n$-Kronecker quivers" @default.
- W2065374967 cites W122007199 @default.
- W2065374967 cites W1982080255 @default.
- W2065374967 cites W2013575040 @default.
- W2065374967 cites W2016783131 @default.
- W2065374967 cites W2017246701 @default.
- W2065374967 cites W2108446380 @default.
- W2065374967 cites W2316608751 @default.
- W2065374967 doi "https://doi.org/10.48550/arxiv.1001.4954" @default.
- W2065374967 hasPublicationYear "2010" @default.
- W2065374967 type Work @default.
- W2065374967 sameAs 2065374967 @default.
- W2065374967 citedByCount "0" @default.
- W2065374967 crossrefType "posted-content" @default.
- W2065374967 hasAuthorship W2065374967A5076036562 @default.
- W2065374967 hasBestOaLocation W20653749671 @default.
- W2065374967 hasConcept C114614502 @default.
- W2065374967 hasConcept C121332964 @default.
- W2065374967 hasConcept C157480366 @default.
- W2065374967 hasConcept C168310172 @default.
- W2065374967 hasConcept C173734053 @default.
- W2065374967 hasConcept C202444582 @default.
- W2065374967 hasConcept C2778112365 @default.
- W2065374967 hasConcept C33676613 @default.
- W2065374967 hasConcept C33923547 @default.
- W2065374967 hasConcept C39482219 @default.
- W2065374967 hasConcept C54355233 @default.
- W2065374967 hasConcept C62520636 @default.
- W2065374967 hasConcept C86803240 @default.
- W2065374967 hasConceptScore W2065374967C114614502 @default.
- W2065374967 hasConceptScore W2065374967C121332964 @default.
- W2065374967 hasConceptScore W2065374967C157480366 @default.
- W2065374967 hasConceptScore W2065374967C168310172 @default.
- W2065374967 hasConceptScore W2065374967C173734053 @default.
- W2065374967 hasConceptScore W2065374967C202444582 @default.
- W2065374967 hasConceptScore W2065374967C2778112365 @default.
- W2065374967 hasConceptScore W2065374967C33676613 @default.
- W2065374967 hasConceptScore W2065374967C33923547 @default.
- W2065374967 hasConceptScore W2065374967C39482219 @default.
- W2065374967 hasConceptScore W2065374967C54355233 @default.
- W2065374967 hasConceptScore W2065374967C62520636 @default.
- W2065374967 hasConceptScore W2065374967C86803240 @default.
- W2065374967 hasLocation W20653749671 @default.
- W2065374967 hasLocation W20653749672 @default.
- W2065374967 hasOpenAccess W2065374967 @default.
- W2065374967 hasPrimaryLocation W20653749671 @default.
- W2065374967 hasRelatedWork W1531172261 @default.
- W2065374967 hasRelatedWork W1967489458 @default.
- W2065374967 hasRelatedWork W2065374967 @default.
- W2065374967 hasRelatedWork W2085812389 @default.
- W2065374967 hasRelatedWork W2089200360 @default.
- W2065374967 hasRelatedWork W2896447662 @default.
- W2065374967 hasRelatedWork W2949110265 @default.
- W2065374967 hasRelatedWork W2949319894 @default.
- W2065374967 hasRelatedWork W2952858802 @default.
- W2065374967 hasRelatedWork W2963185323 @default.
- W2065374967 isParatext "false" @default.
- W2065374967 isRetracted "false" @default.
- W2065374967 magId "2065374967" @default.
- W2065374967 workType "article" @default.