Matches in SemOpenAlex for { <https://semopenalex.org/work/W3048466444> ?p ?o ?g. }
- W3048466444 endingPage "2413" @default.
- W3048466444 startingPage "2397" @default.
- W3048466444 abstract "Let R be a prime algebra over a commutative ring K, let I be a nonzero ideal of R and let f(X1,…,Xk) be a multilinear polynomial over K in k non-commuting indeterminates which is not central-valued on R. Suppose that a∈R and d is a derivation of R such that a(d(f(x1,…,xk))s−γf(x1,…,xk)t)m∈Z(R) for all x1,…,xk∈I, where γ∈K, s, t, m are fixed positive integers and Z(R) is the centre of R. It is shown that a = 0 or d = 0 except when R⊆M2(F), the 2×2 matrix ring over a field F. This result gives a natural generalization of several well-known theorems in the literature. Moreover, with this we give an affirmative answer to the open conjecture recently raised by Huang in [Derivations with annihilator conditions on Lie ideals in prime rings. J Algebra Appl. 2020;19:2050025]." @default.
- W3048466444 created "2020-08-18" @default.
- W3048466444 creator A5010300933 @default.
- W3048466444 creator A5055051605 @default.
- W3048466444 date "2020-08-11" @default.
- W3048466444 modified "2023-10-16" @default.
- W3048466444 title "Derivations with annihilator conditions on multilinear polynomials" @default.
- W3048466444 cites W1639508072 @default.
- W3048466444 cites W1965219594 @default.
- W3048466444 cites W1974709692 @default.
- W3048466444 cites W1975994261 @default.
- W3048466444 cites W1982361201 @default.
- W3048466444 cites W1988111941 @default.
- W3048466444 cites W1991175661 @default.
- W3048466444 cites W2000878227 @default.
- W3048466444 cites W2004323107 @default.
- W3048466444 cites W2005101918 @default.
- W3048466444 cites W2012648836 @default.
- W3048466444 cites W2015141463 @default.
- W3048466444 cites W2038796516 @default.
- W3048466444 cites W2056425756 @default.
- W3048466444 cites W2057690901 @default.
- W3048466444 cites W2068865899 @default.
- W3048466444 cites W2080328683 @default.
- W3048466444 cites W2082291964 @default.
- W3048466444 cites W2110900281 @default.
- W3048466444 cites W2121685388 @default.
- W3048466444 cites W2369967270 @default.
- W3048466444 cites W2509192088 @default.
- W3048466444 cites W2906557810 @default.
- W3048466444 cites W4232893948 @default.
- W3048466444 cites W4235193726 @default.
- W3048466444 cites W4247176964 @default.
- W3048466444 cites W4250256889 @default.
- W3048466444 cites W4252233254 @default.
- W3048466444 cites W4312591414 @default.
- W3048466444 doi "https://doi.org/10.1080/03081087.2020.1801569" @default.
- W3048466444 hasPublicationYear "2020" @default.
- W3048466444 type Work @default.
- W3048466444 sameAs 3048466444 @default.
- W3048466444 citedByCount "0" @default.
- W3048466444 crossrefType "journal-article" @default.
- W3048466444 hasAuthorship W3048466444A5010300933 @default.
- W3048466444 hasAuthorship W3048466444A5055051605 @default.
- W3048466444 hasConcept C107836120 @default.
- W3048466444 hasConcept C111472728 @default.
- W3048466444 hasConcept C114614502 @default.
- W3048466444 hasConcept C118615104 @default.
- W3048466444 hasConcept C134306372 @default.
- W3048466444 hasConcept C136119220 @default.
- W3048466444 hasConcept C138885662 @default.
- W3048466444 hasConcept C147073270 @default.
- W3048466444 hasConcept C161491579 @default.
- W3048466444 hasConcept C177148314 @default.
- W3048466444 hasConcept C178790620 @default.
- W3048466444 hasConcept C183778304 @default.
- W3048466444 hasConcept C184992742 @default.
- W3048466444 hasConcept C185592680 @default.
- W3048466444 hasConcept C202444582 @default.
- W3048466444 hasConcept C2776639384 @default.
- W3048466444 hasConcept C2780378348 @default.
- W3048466444 hasConcept C2780990831 @default.
- W3048466444 hasConcept C33923547 @default.
- W3048466444 hasConcept C84392682 @default.
- W3048466444 hasConcept C90119067 @default.
- W3048466444 hasConcept C9485509 @default.
- W3048466444 hasConcept C9652623 @default.
- W3048466444 hasConceptScore W3048466444C107836120 @default.
- W3048466444 hasConceptScore W3048466444C111472728 @default.
- W3048466444 hasConceptScore W3048466444C114614502 @default.
- W3048466444 hasConceptScore W3048466444C118615104 @default.
- W3048466444 hasConceptScore W3048466444C134306372 @default.
- W3048466444 hasConceptScore W3048466444C136119220 @default.
- W3048466444 hasConceptScore W3048466444C138885662 @default.
- W3048466444 hasConceptScore W3048466444C147073270 @default.
- W3048466444 hasConceptScore W3048466444C161491579 @default.
- W3048466444 hasConceptScore W3048466444C177148314 @default.
- W3048466444 hasConceptScore W3048466444C178790620 @default.
- W3048466444 hasConceptScore W3048466444C183778304 @default.
- W3048466444 hasConceptScore W3048466444C184992742 @default.
- W3048466444 hasConceptScore W3048466444C185592680 @default.
- W3048466444 hasConceptScore W3048466444C202444582 @default.
- W3048466444 hasConceptScore W3048466444C2776639384 @default.
- W3048466444 hasConceptScore W3048466444C2780378348 @default.
- W3048466444 hasConceptScore W3048466444C2780990831 @default.
- W3048466444 hasConceptScore W3048466444C33923547 @default.
- W3048466444 hasConceptScore W3048466444C84392682 @default.
- W3048466444 hasConceptScore W3048466444C90119067 @default.
- W3048466444 hasConceptScore W3048466444C9485509 @default.
- W3048466444 hasConceptScore W3048466444C9652623 @default.
- W3048466444 hasFunder F4320309618 @default.
- W3048466444 hasIssue "12" @default.
- W3048466444 hasLocation W30484664441 @default.
- W3048466444 hasOpenAccess W3048466444 @default.
- W3048466444 hasPrimaryLocation W30484664441 @default.
- W3048466444 hasRelatedWork W1536761744 @default.
- W3048466444 hasRelatedWork W2094137438 @default.
- W3048466444 hasRelatedWork W2127063498 @default.