Results 271 to 280 of about 68,056 (301)

Derivations on a Lie Ideal

open access: yesCanadian Mathematical Bulletin, 1988
AbstractIn this paper we prove the following result: let R be a prime ring with no non-zero nil left ideals whose characteristic is different from 2 and let U be a non central Lie ideal of R.If d ≠ 0 is a derivation of R such that d(u) is invertible or nilpotent for all u ∈ U, then either R is a division ring or R is the 2 X 2 matrices over a division ...
Mauceri, Silvana, Misso, Paola
openaire   +3 more sources

On Lie ideals with generalized derivations

Siberian Mathematical Journal, 2006
Summary: Let \(R\) be a prime ring with characteristic different from 2, let \(U\) be a nonzero Lie ideal of \(R\), and let \(f\) be a generalized derivation associated with \(d\). We prove the following results: (i) If \(a\in R\) and \([a,f(U)]=0\) then \(a\in Z\) or \(d(a)=0\) or \(U\subset Z\); (ii) If \(f^2(U)=0\) then \(U\subset Z\); (iii) If \(u ...
Goelbasi, Oe., Kaya, K.
exaly   +5 more sources

Ideal hydrodynamics on Lie groups

Physica D: Nonlinear Phenomena, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +4 more sources

Lie Ideals in Associative Algebras

open access: yesCanadian Mathematical Bulletin, 1984
AbstractIt is shown that in a certain extensive class of algebras one can associate with each Lie ideal a corresponding associative ideal which facilitates the study of Lie ideals, especially for simple algebras. We apply this construction to obtain new, simpler proofs of some known results of Herstein [10] and others on the Lie structure of ...
G. J. Murphy
openaire   +2 more sources

Fuzzy Lie ideals and fuzzy Lie subalgebras

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chung-Gook Kim, Dong-Soo Lee
openaire   +2 more sources

Nilpotent fuzzy lie ideals

Journal of Intelligent & Fuzzy Systems, 2020
In this paper, we introduce a new definition for nilpotent fuzzy Lie ideal, which is a well-defined extension of nilpotent Lie ideal in Lie algebras, and we name it a good nilpotent fuzzy Lie ideal .
E. Mohammadzadeh   +3 more
openaire   +1 more source

Leavitt Path Algebras in Which Every Lie Ideal is an Ideal and Applications

open access: yesTransformation Groups
In this paper, we classify all Leavitt path algebras which have the property that every Lie ideal is an ideal. As an application, we show that Leavitt path algebras with this property provide a class of locally finite, infinite-dimensional Lie algebras ...
Huynh Viet Khanh
exaly   +3 more sources

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