Matches in SemOpenAlex for { <https://semopenalex.org/work/W3208518058> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W3208518058 abstract "Let $mathfrak{R}$ be an associative ring graded by left cancellative monoid $mathsf{S}$, and $e$ the neutral element of $mathsf{S}$. We study the following problem: if $mathfrak{R}_e$ is nil, then is $mathfrak{R}$ nil/nilpotent? We have proved that if $mathfrak{R}_e$ is nil (of bounded index) and $mathsf{f}$- commutative, then $mathfrak{R}$ is nil (of bounded index). Later, we have shown that $mathfrak{R}_e$ being nilpotent implies $mathfrak{R}$ is nilpotent. Consequently, we have exhibited a generalization of Dubnov-Ivanov-Nagata-Higman Theorem for the graded algebras case. Furthermore, we have exhibited relations between graded rings and the problems of K{o}the and Kurosh-Levitzki. We have proved that graded rings and $mathsf{f}$-commutative rings provide positive solutions to these problems." @default.
- W3208518058 created "2021-11-08" @default.
- W3208518058 creator A5004398479 @default.
- W3208518058 creator A5078782729 @default.
- W3208518058 date "2021-10-25" @default.
- W3208518058 modified "2023-09-27" @default.
- W3208518058 title "Kothe's Problem, Kurosch-Levitzki Problem and Graded Rings." @default.
- W3208518058 cites W1607163156 @default.
- W3208518058 cites W1969697952 @default.
- W3208518058 cites W2157635266 @default.
- W3208518058 cites W2307653286 @default.
- W3208518058 cites W2335092977 @default.
- W3208518058 hasPublicationYear "2021" @default.
- W3208518058 type Work @default.
- W3208518058 sameAs 3208518058 @default.
- W3208518058 citedByCount "0" @default.
- W3208518058 crossrefType "posted-content" @default.
- W3208518058 hasAuthorship W3208518058A5004398479 @default.
- W3208518058 hasAuthorship W3208518058A5078782729 @default.
- W3208518058 hasConcept C114614502 @default.
- W3208518058 hasConcept C134306372 @default.
- W3208518058 hasConcept C177148314 @default.
- W3208518058 hasConcept C178790620 @default.
- W3208518058 hasConcept C183778304 @default.
- W3208518058 hasConcept C185592680 @default.
- W3208518058 hasConcept C202444582 @default.
- W3208518058 hasConcept C206219070 @default.
- W3208518058 hasConcept C2776456406 @default.
- W3208518058 hasConcept C2780378348 @default.
- W3208518058 hasConcept C33923547 @default.
- W3208518058 hasConcept C34388435 @default.
- W3208518058 hasConcept C50555996 @default.
- W3208518058 hasConceptScore W3208518058C114614502 @default.
- W3208518058 hasConceptScore W3208518058C134306372 @default.
- W3208518058 hasConceptScore W3208518058C177148314 @default.
- W3208518058 hasConceptScore W3208518058C178790620 @default.
- W3208518058 hasConceptScore W3208518058C183778304 @default.
- W3208518058 hasConceptScore W3208518058C185592680 @default.
- W3208518058 hasConceptScore W3208518058C202444582 @default.
- W3208518058 hasConceptScore W3208518058C206219070 @default.
- W3208518058 hasConceptScore W3208518058C2776456406 @default.
- W3208518058 hasConceptScore W3208518058C2780378348 @default.
- W3208518058 hasConceptScore W3208518058C33923547 @default.
- W3208518058 hasConceptScore W3208518058C34388435 @default.
- W3208518058 hasConceptScore W3208518058C50555996 @default.
- W3208518058 hasLocation W32085180581 @default.
- W3208518058 hasOpenAccess W3208518058 @default.
- W3208518058 hasPrimaryLocation W32085180581 @default.
- W3208518058 hasRelatedWork W1986290905 @default.
- W3208518058 hasRelatedWork W2011309242 @default.
- W3208518058 hasRelatedWork W2027423493 @default.
- W3208518058 hasRelatedWork W2041206834 @default.
- W3208518058 hasRelatedWork W2043081887 @default.
- W3208518058 hasRelatedWork W2070643245 @default.
- W3208518058 hasRelatedWork W2106570877 @default.
- W3208518058 hasRelatedWork W2137254915 @default.
- W3208518058 hasRelatedWork W2149932338 @default.
- W3208518058 hasRelatedWork W2469297365 @default.
- W3208518058 hasRelatedWork W274625226 @default.
- W3208518058 hasRelatedWork W2909670124 @default.
- W3208518058 hasRelatedWork W2962966565 @default.
- W3208518058 hasRelatedWork W2963055875 @default.
- W3208518058 hasRelatedWork W2964166457 @default.
- W3208518058 hasRelatedWork W2969416239 @default.
- W3208518058 hasRelatedWork W3206034477 @default.
- W3208518058 hasRelatedWork W3209448881 @default.
- W3208518058 hasRelatedWork W3210942357 @default.
- W3208518058 hasRelatedWork W2315174236 @default.
- W3208518058 isParatext "false" @default.
- W3208518058 isRetracted "false" @default.
- W3208518058 magId "3208518058" @default.
- W3208518058 workType "article" @default.