Matches in SemOpenAlex for { <https://semopenalex.org/work/W3201998714> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W3201998714 abstract "Enochs' conjecture asserts that each covering class of modules (over any fixed ring) has to be closed under direct limits. Although various special cases of the conjecture have been verified, the conjecture remains open in its full generality. In this short paper, we prove the validity of the conjecture for small precovering classes, i.e. the classes of the form $mathrm{Add}(M)$ where $M$ is any module, under a mild additional set-theoretic assumption which ensures that there are enough non-reflecting stationary sets. We even show that $M$ has a perfect decomposition if $mathrm{Add}(M)$ is a covering class. Finally, the additional set-theoretic assumption is redundant if $M$ decomposes into a direct sum of countably presented modules." @default.
- W3201998714 created "2021-10-11" @default.
- W3201998714 creator A5044339594 @default.
- W3201998714 date "2021-09-30" @default.
- W3201998714 modified "2023-10-17" @default.
- W3201998714 title "Enochs' conjecture for small precovering classes" @default.
- W3201998714 cites W2029072212 @default.
- W3201998714 cites W2054573115 @default.
- W3201998714 cites W2091105380 @default.
- W3201998714 cites W2096511251 @default.
- W3201998714 cites W2114145385 @default.
- W3201998714 cites W2143286111 @default.
- W3201998714 cites W2323265588 @default.
- W3201998714 cites W3110826430 @default.
- W3201998714 cites W49052377 @default.
- W3201998714 cites W809879787 @default.
- W3201998714 hasPublicationYear "2021" @default.
- W3201998714 type Work @default.
- W3201998714 sameAs 3201998714 @default.
- W3201998714 citedByCount "0" @default.
- W3201998714 crossrefType "posted-content" @default.
- W3201998714 hasAuthorship W3201998714A5044339594 @default.
- W3201998714 hasConcept C114614502 @default.
- W3201998714 hasConcept C118615104 @default.
- W3201998714 hasConcept C154945302 @default.
- W3201998714 hasConcept C15744967 @default.
- W3201998714 hasConcept C177264268 @default.
- W3201998714 hasConcept C178790620 @default.
- W3201998714 hasConcept C185592680 @default.
- W3201998714 hasConcept C199360897 @default.
- W3201998714 hasConcept C202444582 @default.
- W3201998714 hasConcept C2777212361 @default.
- W3201998714 hasConcept C2780378348 @default.
- W3201998714 hasConcept C2780767217 @default.
- W3201998714 hasConcept C2780990831 @default.
- W3201998714 hasConcept C33923547 @default.
- W3201998714 hasConcept C41008148 @default.
- W3201998714 hasConcept C542102704 @default.
- W3201998714 hasConceptScore W3201998714C114614502 @default.
- W3201998714 hasConceptScore W3201998714C118615104 @default.
- W3201998714 hasConceptScore W3201998714C154945302 @default.
- W3201998714 hasConceptScore W3201998714C15744967 @default.
- W3201998714 hasConceptScore W3201998714C177264268 @default.
- W3201998714 hasConceptScore W3201998714C178790620 @default.
- W3201998714 hasConceptScore W3201998714C185592680 @default.
- W3201998714 hasConceptScore W3201998714C199360897 @default.
- W3201998714 hasConceptScore W3201998714C202444582 @default.
- W3201998714 hasConceptScore W3201998714C2777212361 @default.
- W3201998714 hasConceptScore W3201998714C2780378348 @default.
- W3201998714 hasConceptScore W3201998714C2780767217 @default.
- W3201998714 hasConceptScore W3201998714C2780990831 @default.
- W3201998714 hasConceptScore W3201998714C33923547 @default.
- W3201998714 hasConceptScore W3201998714C41008148 @default.
- W3201998714 hasConceptScore W3201998714C542102704 @default.
- W3201998714 hasLocation W32019987141 @default.
- W3201998714 hasOpenAccess W3201998714 @default.
- W3201998714 hasPrimaryLocation W32019987141 @default.
- W3201998714 hasRelatedWork W1636663072 @default.
- W3201998714 hasRelatedWork W2015825651 @default.
- W3201998714 hasRelatedWork W2016698575 @default.
- W3201998714 hasRelatedWork W2035152725 @default.
- W3201998714 hasRelatedWork W2066729461 @default.
- W3201998714 hasRelatedWork W2234521798 @default.
- W3201998714 hasRelatedWork W2546699279 @default.
- W3201998714 hasRelatedWork W2765671058 @default.
- W3201998714 hasRelatedWork W2919772532 @default.
- W3201998714 hasRelatedWork W2951874894 @default.
- W3201998714 hasRelatedWork W2952641675 @default.
- W3201998714 hasRelatedWork W2975993509 @default.
- W3201998714 hasRelatedWork W2982834771 @default.
- W3201998714 hasRelatedWork W3027246509 @default.
- W3201998714 hasRelatedWork W3029977759 @default.
- W3201998714 hasRelatedWork W3102943387 @default.
- W3201998714 hasRelatedWork W3103870832 @default.
- W3201998714 hasRelatedWork W3149634682 @default.
- W3201998714 hasRelatedWork W3207025414 @default.
- W3201998714 hasRelatedWork W897558708 @default.
- W3201998714 isParatext "false" @default.
- W3201998714 isRetracted "false" @default.
- W3201998714 magId "3201998714" @default.
- W3201998714 workType "article" @default.