Results 1 to 10 of about 42 (40)

Some conditions under which Jordan derivations are zero

Journal of Taibah University for Science, 2017
In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:A→(A/P) is a Jordan derivation such that dim{d(a)|a∈A}≤1. If d(P)={0}, then d is zero.
Z. Jokar, A. Hosseini, A. Niknam
doaj   +2 more sources

THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER

Forum of Mathematics, Sigma, 2020
We prove the Lipman–Zariski conjecture for complex surface singularities with $p_{g}-g-b\leqslant 2$. Here $p_{g}$ is the geometric genus, $g$ is the sum of the genera of exceptional curves and $b$ is the first Betti number of the dual graph.
HANNAH BERGNER, PATRICK GRAF
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COUNTING $S_5$ -FIELDS WITH A POWER SAVING ERROR TERM

Forum of Mathematics, Sigma, 2014
We show how the Selberg $\Lambda ^2$ -sieve can be used to obtain power saving error terms in a wide class of counting problems which are tackled using the ...
ARUL SHANKAR, JACOB TSIMERMAN
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Jordan Derivations on Lie Ideals of Prime T-Rings [PDF]

, 2013
The details of the research can be found in the full paper.Keywords: Derivation, Jordan derivation, Lie ideal, admissible Lie ideal, square closed Lie ideal,prime ????-ring.2010 AMS Subject Classication: Primary 13N15; Secondary 16W10 ...
Paul, A. C., Rahman, M. M.
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
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A Note About the Nowicki Conjecture on Weitzenböck Derivations [PDF]

, 2009
2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.We reduce the Nowicki conjecture on Weitzenböck derivations of polynomial algebras to a well known problem of classical invariant ...
Bedratyuk, Leonid
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Weitzenböck Derivations and Classical Invariant Theory II: The Symbolic Method [PDF]

, 2011
2000 Mathematics Subject Classification: 13N15, 13A50, 13F20.An analogue of the symbolic method of classical invariant theory for a representation and manipulation of the elements of the kernel of Weitzenböck derivations is ...
Bedratyuk, Leonid
core  

Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series [PDF]

, 2010
2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are ...
Bedratyuk, Leonid
core  

A Note on Elementary Derivations [PDF]

, 2004
2000 Mathematics Subject Classification: Primary: 14R10. Secondary: 14R20, 13N15.Let R be a UFD containing a field of characteristic 0, and Bm = R[Y1, . . . , Ym] be a polynomial ring over R.
Khoury, Joseph
core  

Generalized higher (U,M)-derivations in prime Γ-Rings. [PDF]

Springerplus, 2014
Rahman MM, Paul AC.
europepmc   +1 more source