Matches in SemOpenAlex for { <https://semopenalex.org/work/W3015599486> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W3015599486 endingPage "265" @default.
- W3015599486 startingPage "258" @default.
- W3015599486 abstract "Abstract An element a in a ring R is left annihilator-stable (or left AS ) if, whenever $Ra+{rm l}(b)=R$ with $bin R$ , $a-uin {rm l}(b)$ for a unit u in R , and the ring R is a left AS ring if each of its elements is left AS . In this paper, we show that the left AS elements in a ring form a multiplicatively closed set, giving an affirmative answer to a question of Nicholson [ J. Pure Appl. Alg. 221 (2017), 2557–2572.]. This result is used to obtain a necessary and sufficient condition for a formal triangular matrix ring to be left AS . As an application, we provide examples of left AS rings R over which the triangular matrix rings ${mathbb T}_n(R)$ are not left AS for all $nge 2$ . These examples give a negative answer to another question of Nicholson [ J. Pure Appl. Alg. 221 (2017), 2557–2572.] whether R/J(R) being left AS implies that R is left AS ." @default.
- W3015599486 created "2020-04-17" @default.
- W3015599486 creator A5004680428 @default.
- W3015599486 creator A5054316530 @default.
- W3015599486 date "2020-04-07" @default.
- W3015599486 modified "2023-09-23" @default.
- W3015599486 title "ANNIHILATOR-STABILITY AND TWO QUESTIONS OF NICHOLSON" @default.
- W3015599486 cites W1972051384 @default.
- W3015599486 cites W2036582864 @default.
- W3015599486 cites W2045244266 @default.
- W3015599486 cites W2050067988 @default.
- W3015599486 cites W2053399991 @default.
- W3015599486 cites W2065842485 @default.
- W3015599486 cites W2076375096 @default.
- W3015599486 cites W2099916937 @default.
- W3015599486 cites W2586058327 @default.
- W3015599486 cites W2883164884 @default.
- W3015599486 cites W4248537544 @default.
- W3015599486 doi "https://doi.org/10.1017/s0017089520000154" @default.
- W3015599486 hasPublicationYear "2020" @default.
- W3015599486 type Work @default.
- W3015599486 sameAs 3015599486 @default.
- W3015599486 citedByCount "1" @default.
- W3015599486 countsByYear W30155994862021 @default.
- W3015599486 crossrefType "journal-article" @default.
- W3015599486 hasAuthorship W3015599486A5004680428 @default.
- W3015599486 hasAuthorship W3015599486A5054316530 @default.
- W3015599486 hasConcept C104528550 @default.
- W3015599486 hasConcept C106487976 @default.
- W3015599486 hasConcept C114614502 @default.
- W3015599486 hasConcept C122637931 @default.
- W3015599486 hasConcept C136119220 @default.
- W3015599486 hasConcept C145420912 @default.
- W3015599486 hasConcept C147073270 @default.
- W3015599486 hasConcept C156923205 @default.
- W3015599486 hasConcept C159985019 @default.
- W3015599486 hasConcept C161491579 @default.
- W3015599486 hasConcept C17744445 @default.
- W3015599486 hasConcept C178790620 @default.
- W3015599486 hasConcept C183778304 @default.
- W3015599486 hasConcept C185592680 @default.
- W3015599486 hasConcept C192562407 @default.
- W3015599486 hasConcept C199539241 @default.
- W3015599486 hasConcept C200288055 @default.
- W3015599486 hasConcept C202444582 @default.
- W3015599486 hasConcept C202836834 @default.
- W3015599486 hasConcept C2780378348 @default.
- W3015599486 hasConcept C33923547 @default.
- W3015599486 hasConcept C96442724 @default.
- W3015599486 hasConceptScore W3015599486C104528550 @default.
- W3015599486 hasConceptScore W3015599486C106487976 @default.
- W3015599486 hasConceptScore W3015599486C114614502 @default.
- W3015599486 hasConceptScore W3015599486C122637931 @default.
- W3015599486 hasConceptScore W3015599486C136119220 @default.
- W3015599486 hasConceptScore W3015599486C145420912 @default.
- W3015599486 hasConceptScore W3015599486C147073270 @default.
- W3015599486 hasConceptScore W3015599486C156923205 @default.
- W3015599486 hasConceptScore W3015599486C159985019 @default.
- W3015599486 hasConceptScore W3015599486C161491579 @default.
- W3015599486 hasConceptScore W3015599486C17744445 @default.
- W3015599486 hasConceptScore W3015599486C178790620 @default.
- W3015599486 hasConceptScore W3015599486C183778304 @default.
- W3015599486 hasConceptScore W3015599486C185592680 @default.
- W3015599486 hasConceptScore W3015599486C192562407 @default.
- W3015599486 hasConceptScore W3015599486C199539241 @default.
- W3015599486 hasConceptScore W3015599486C200288055 @default.
- W3015599486 hasConceptScore W3015599486C202444582 @default.
- W3015599486 hasConceptScore W3015599486C202836834 @default.
- W3015599486 hasConceptScore W3015599486C2780378348 @default.
- W3015599486 hasConceptScore W3015599486C33923547 @default.
- W3015599486 hasConceptScore W3015599486C96442724 @default.
- W3015599486 hasIssue "2" @default.
- W3015599486 hasLocation W30155994861 @default.
- W3015599486 hasOpenAccess W3015599486 @default.
- W3015599486 hasPrimaryLocation W30155994861 @default.
- W3015599486 hasRelatedWork W1533198170 @default.
- W3015599486 hasRelatedWork W1967828819 @default.
- W3015599486 hasRelatedWork W2026131778 @default.
- W3015599486 hasRelatedWork W2143950662 @default.
- W3015599486 hasRelatedWork W2363776157 @default.
- W3015599486 hasRelatedWork W2378148217 @default.
- W3015599486 hasRelatedWork W2381452214 @default.
- W3015599486 hasRelatedWork W2390792120 @default.
- W3015599486 hasRelatedWork W3014490060 @default.
- W3015599486 hasRelatedWork W3016221067 @default.
- W3015599486 hasVolume "63" @default.
- W3015599486 isParatext "false" @default.
- W3015599486 isRetracted "false" @default.
- W3015599486 magId "3015599486" @default.
- W3015599486 workType "article" @default.