Results 31 to 40 of about 291 (46)

Connections on modules over quasi-homogeneous plane curves

open access: yes, 2007
Let k be an algebraically closed field of characteristic 0, and let $A = k[x,y]/(f)$ be a quasi-homogeneous plane curve. We show that for any graded torsion free A-module M, there exists a natural graded integrable connection, i.e.
Arnol'd V. I.   +3 more
core   +2 more sources

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

open access: yesOpen 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
doaj   +1 more source

A note on integrating group scheme actions

open access: yes, 2015
We prove a non-integrability result concerning iterative derivations on projective line, where the iterative rule is given by a non-algebraic formal ...
Hoffmann, Daniel, Kowalski, Piotr
core   +1 more source

Derivations of negative degree on quasihomogeneous isolated complete intersection singularities [PDF]

open access: yes, 2014
J. Wahl conjectured that every quasihomogeneous isolated normal singularity admits a positive grading for which there are no derivations of negative weighted degree.
Granger, Michel, Schulze, Mathias
core   +2 more sources

On homogeneous locally nilpotent derivations of trinomial algebras

open access: yes, 2018
We provide an explicit description of homogeneous locally nilpotent derivations of the algebra of regular functions on affine trinomial hypersurfaces. As an application, we describe the set of roots of trinomial algebras.Comment: 14 pages.
Gaifullin, Sergey, Zaitseva, Yulia
core   +1 more source

Some conditions under which Jordan derivations are zero

open access: yesJournal 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  

Notes on the characterization of derivations

open access: yes, 2012
Although the characterization of ring derivations has an extensive literature, up to now, all of the characterizations have had the following form: additivity and another property imply that the function in question is a derivation.
Gselmann, Eszter
core  

The five-variable Volterra system

open access: yesOpen Mathematics, 2011
Zieliński Janusz
doaj   +1 more source

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