Matches in SemOpenAlex for { <https://semopenalex.org/work/W83277207> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W83277207 endingPage "133" @default.
- W83277207 startingPage "129" @default.
- W83277207 abstract "Artinian rings.Let A be an Artinian ring. Recall that A is said to beindecomposableif A cannot be split as the direct sum of two non-zero rings. In general we can decompose A as a finite direct sum of indecomposable (and necessarily Artinian) rings. Equivalently, where the ei arepairwise orthogonal primitive central idempotents.(Central idempotents areorthogonalif their product is zero; a central idempotent isprimitiveif it is non-zero and it cannot be written as the sum of two orthogonal non-zero central idempotents.) It’s clear how to get (2) from (1), and to get (1) from (2), take Ai= Aei. These decompositions areunique(up to permutation of the indices) — indeed if Ω is any ring summand of A then there is a nonempty subsetJ Ωof 1,…,t such thatIn fact, We call Ai…, At theblocks of A." @default.
- W83277207 created "2016-06-24" @default.
- W83277207 creator A5057678440 @default.
- W83277207 creator A5082849061 @default.
- W83277207 date "2002-01-01" @default.
- W83277207 modified "2023-09-25" @default.
- W83277207 title "Links and Blocks" @default.
- W83277207 doi "https://doi.org/10.1007/978-3-0348-8205-7_16" @default.
- W83277207 hasPublicationYear "2002" @default.
- W83277207 type Work @default.
- W83277207 sameAs 83277207 @default.
- W83277207 citedByCount "0" @default.
- W83277207 crossrefType "book-chapter" @default.
- W83277207 hasAuthorship W83277207A5057678440 @default.
- W83277207 hasAuthorship W83277207A5082849061 @default.
- W83277207 hasConcept C106387445 @default.
- W83277207 hasConcept C114614502 @default.
- W83277207 hasConcept C118615104 @default.
- W83277207 hasConcept C121332964 @default.
- W83277207 hasConcept C125225535 @default.
- W83277207 hasConcept C136119220 @default.
- W83277207 hasConcept C138885662 @default.
- W83277207 hasConcept C149774684 @default.
- W83277207 hasConcept C157480366 @default.
- W83277207 hasConcept C172252984 @default.
- W83277207 hasConcept C178790620 @default.
- W83277207 hasConcept C185592680 @default.
- W83277207 hasConcept C202444582 @default.
- W83277207 hasConcept C21308566 @default.
- W83277207 hasConcept C24890656 @default.
- W83277207 hasConcept C2524010 @default.
- W83277207 hasConcept C2779057376 @default.
- W83277207 hasConcept C2780378348 @default.
- W83277207 hasConcept C2780813799 @default.
- W83277207 hasConcept C33923547 @default.
- W83277207 hasConcept C41895202 @default.
- W83277207 hasConcept C58193220 @default.
- W83277207 hasConcept C90673727 @default.
- W83277207 hasConceptScore W83277207C106387445 @default.
- W83277207 hasConceptScore W83277207C114614502 @default.
- W83277207 hasConceptScore W83277207C118615104 @default.
- W83277207 hasConceptScore W83277207C121332964 @default.
- W83277207 hasConceptScore W83277207C125225535 @default.
- W83277207 hasConceptScore W83277207C136119220 @default.
- W83277207 hasConceptScore W83277207C138885662 @default.
- W83277207 hasConceptScore W83277207C149774684 @default.
- W83277207 hasConceptScore W83277207C157480366 @default.
- W83277207 hasConceptScore W83277207C172252984 @default.
- W83277207 hasConceptScore W83277207C178790620 @default.
- W83277207 hasConceptScore W83277207C185592680 @default.
- W83277207 hasConceptScore W83277207C202444582 @default.
- W83277207 hasConceptScore W83277207C21308566 @default.
- W83277207 hasConceptScore W83277207C24890656 @default.
- W83277207 hasConceptScore W83277207C2524010 @default.
- W83277207 hasConceptScore W83277207C2779057376 @default.
- W83277207 hasConceptScore W83277207C2780378348 @default.
- W83277207 hasConceptScore W83277207C2780813799 @default.
- W83277207 hasConceptScore W83277207C33923547 @default.
- W83277207 hasConceptScore W83277207C41895202 @default.
- W83277207 hasConceptScore W83277207C58193220 @default.
- W83277207 hasConceptScore W83277207C90673727 @default.
- W83277207 hasLocation W832772071 @default.
- W83277207 hasOpenAccess W83277207 @default.
- W83277207 hasPrimaryLocation W832772071 @default.
- W83277207 hasRelatedWork W1974972106 @default.
- W83277207 hasRelatedWork W1977262517 @default.
- W83277207 hasRelatedWork W1980934605 @default.
- W83277207 hasRelatedWork W1994540687 @default.
- W83277207 hasRelatedWork W1994902690 @default.
- W83277207 hasRelatedWork W1995663974 @default.
- W83277207 hasRelatedWork W2005778076 @default.
- W83277207 hasRelatedWork W2009951114 @default.
- W83277207 hasRelatedWork W2010269881 @default.
- W83277207 hasRelatedWork W2040261121 @default.
- W83277207 hasRelatedWork W2042133540 @default.
- W83277207 hasRelatedWork W2042565241 @default.
- W83277207 hasRelatedWork W2049933350 @default.
- W83277207 hasRelatedWork W2052384215 @default.
- W83277207 hasRelatedWork W2059003042 @default.
- W83277207 hasRelatedWork W2072645872 @default.
- W83277207 hasRelatedWork W2733177586 @default.
- W83277207 hasRelatedWork W2794124290 @default.
- W83277207 hasRelatedWork W3209677332 @default.
- W83277207 hasRelatedWork W799241918 @default.
- W83277207 isParatext "false" @default.
- W83277207 isRetracted "false" @default.
- W83277207 magId "83277207" @default.
- W83277207 workType "book-chapter" @default.