Matches in SemOpenAlex for { <https://semopenalex.org/work/W3134217908> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W3134217908 abstract "We provide various ways to characterise $Sigma$-pure-injective objects in a compactly generated triangulated category. These characterisations mimic analogous well-known results from the model theory of modules. The proof involves two approaches. In the first approach we adapt arguments from the module-theoretic setting. Here the one-sorted language of modules over a fixed ring is replaced with a canonical multi-sorted language, whose sorts are given by compact objects. Throughout we use a variation of the Yoneda embedding, called the resticted Yoneda functor, which associates a multi-sorted structure to each object. The second approach is to translate statements using this functor. In particular, results about $Sigma$-pure-injectives in triangulated categories are deduced from results about $Sigma$-injective objects in Grothendieck categories. Combining the two approaches highlights a connection between sorted pp-definable subgroups and annihilator subobjects of generators in the functor category. Our characterisation motivates the introduction of what we call endoperfect objects, which generalise endofinite objects." @default.
- W3134217908 created "2021-03-15" @default.
- W3134217908 creator A5071428259 @default.
- W3134217908 date "2020-04-15" @default.
- W3134217908 modified "2023-09-27" @default.
- W3134217908 title "Characterisations of $Sigma$-pure-injectivity in triangulated categories and applications to endoperfect objects." @default.
- W3134217908 cites W1490635584 @default.
- W3134217908 cites W1535023342 @default.
- W3134217908 cites W1537161530 @default.
- W3134217908 cites W1556189547 @default.
- W3134217908 cites W1579960906 @default.
- W3134217908 cites W1853608640 @default.
- W3134217908 cites W1999646078 @default.
- W3134217908 cites W2014902060 @default.
- W3134217908 cites W2023897267 @default.
- W3134217908 cites W2064999705 @default.
- W3134217908 cites W2067621580 @default.
- W3134217908 cites W2075960198 @default.
- W3134217908 cites W2153211620 @default.
- W3134217908 cites W2316875497 @default.
- W3134217908 cites W2371848053 @default.
- W3134217908 cites W2401293881 @default.
- W3134217908 cites W2574907245 @default.
- W3134217908 cites W2962678252 @default.
- W3134217908 cites W3086017024 @default.
- W3134217908 hasPublicationYear "2020" @default.
- W3134217908 type Work @default.
- W3134217908 sameAs 3134217908 @default.
- W3134217908 citedByCount "0" @default.
- W3134217908 crossrefType "posted-content" @default.
- W3134217908 hasAuthorship W3134217908A5071428259 @default.
- W3134217908 hasConcept C109593458 @default.
- W3134217908 hasConcept C121332964 @default.
- W3134217908 hasConcept C127413603 @default.
- W3134217908 hasConcept C128107574 @default.
- W3134217908 hasConcept C136119220 @default.
- W3134217908 hasConcept C147073270 @default.
- W3134217908 hasConcept C154945302 @default.
- W3134217908 hasConcept C156772000 @default.
- W3134217908 hasConcept C202444582 @default.
- W3134217908 hasConcept C2778049214 @default.
- W3134217908 hasConcept C2780212368 @default.
- W3134217908 hasConcept C2780428219 @default.
- W3134217908 hasConcept C2781238097 @default.
- W3134217908 hasConcept C33923547 @default.
- W3134217908 hasConcept C41008148 @default.
- W3134217908 hasConcept C41608201 @default.
- W3134217908 hasConcept C48808802 @default.
- W3134217908 hasConcept C62520636 @default.
- W3134217908 hasConcept C78519656 @default.
- W3134217908 hasConceptScore W3134217908C109593458 @default.
- W3134217908 hasConceptScore W3134217908C121332964 @default.
- W3134217908 hasConceptScore W3134217908C127413603 @default.
- W3134217908 hasConceptScore W3134217908C128107574 @default.
- W3134217908 hasConceptScore W3134217908C136119220 @default.
- W3134217908 hasConceptScore W3134217908C147073270 @default.
- W3134217908 hasConceptScore W3134217908C154945302 @default.
- W3134217908 hasConceptScore W3134217908C156772000 @default.
- W3134217908 hasConceptScore W3134217908C202444582 @default.
- W3134217908 hasConceptScore W3134217908C2778049214 @default.
- W3134217908 hasConceptScore W3134217908C2780212368 @default.
- W3134217908 hasConceptScore W3134217908C2780428219 @default.
- W3134217908 hasConceptScore W3134217908C2781238097 @default.
- W3134217908 hasConceptScore W3134217908C33923547 @default.
- W3134217908 hasConceptScore W3134217908C41008148 @default.
- W3134217908 hasConceptScore W3134217908C41608201 @default.
- W3134217908 hasConceptScore W3134217908C48808802 @default.
- W3134217908 hasConceptScore W3134217908C62520636 @default.
- W3134217908 hasConceptScore W3134217908C78519656 @default.
- W3134217908 hasLocation W31342179081 @default.
- W3134217908 hasOpenAccess W3134217908 @default.
- W3134217908 hasPrimaryLocation W31342179081 @default.
- W3134217908 hasRelatedWork W1533461724 @default.
- W3134217908 hasRelatedWork W1688730219 @default.
- W3134217908 hasRelatedWork W1832739853 @default.
- W3134217908 hasRelatedWork W2143957533 @default.
- W3134217908 hasRelatedWork W2492633899 @default.
- W3134217908 hasRelatedWork W2545624801 @default.
- W3134217908 hasRelatedWork W2568932333 @default.
- W3134217908 hasRelatedWork W2949476295 @default.
- W3134217908 hasRelatedWork W2998447709 @default.
- W3134217908 hasRelatedWork W3001776293 @default.
- W3134217908 hasRelatedWork W3005980421 @default.
- W3134217908 hasRelatedWork W3016954088 @default.
- W3134217908 hasRelatedWork W3034205156 @default.
- W3134217908 hasRelatedWork W3104908103 @default.
- W3134217908 hasRelatedWork W3128396973 @default.
- W3134217908 hasRelatedWork W3173931061 @default.
- W3134217908 hasRelatedWork W3174596489 @default.
- W3134217908 hasRelatedWork W613121582 @default.
- W3134217908 hasRelatedWork W1923785374 @default.
- W3134217908 hasRelatedWork W2903948691 @default.
- W3134217908 isParatext "false" @default.
- W3134217908 isRetracted "false" @default.
- W3134217908 magId "3134217908" @default.
- W3134217908 workType "article" @default.