Results 241 to 250 of about 470,840 (277)

Fuzzy Lie Ideals and Fuzzy Lie Subalgebras

Fuzzy Sets and Systems, 1998
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Chung-Gook Kim, Dong-Soo Lee
exaly   +3 more sources

Derivations on a Lie Ideal

Canadian 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   +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, G. Muhiuddin, Jianming Zhan 0001, Rajab Ali Borzooei   +3 more
openaire   +1 more source

Lie Ideals in Associative Algebras

Canadian 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 ...
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On the Ideals of a Lie Algebra of Derivations

Journal of the London Mathematical Society, 1986
The most appropriate review of this paper would be to give the first two paragraphs of the author's section 1 (introduction): ''The main theorem of this paper gives a sufficient condition for a Lie algebra of derivations of a commutative associative algebra to be simple.
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Ideal hydrodynamics on Lie groups

Physica D: Nonlinear Phenomena, 2006
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openaire   +3 more sources

On Lie derivations of Lie ideals of prime algebras

Israel Journal of Mathematics, 2001
Let \(A\) be a prime associative algebra over a commutative ring with \(1\), let \(L\) be a noncentral Lie ideal of \(A\) with center \(Z(L)\), and let \(\overline L=L/Z(L)\) be the factor Lie algebra. Under some mild technical assumptions (namely, \(\text{char}(A)\neq 2\) and \(A\) does not satisfy \(S_{14}\), the standard polynomial identity of ...
Beidar, K. I., Chebotar, M. A.
openaire   +2 more sources

Lie superhomomorphisms on Lie ideals in superalgebras

Israel Journal of Mathematics, 2013
In this paper the author investigates Lie superhomomorphisms from a Lie ideal of the skew elements of a superalgebra with superinvolution into a unital superalgebra. As a consequence a well-known result on Lie isomorphisms [\textit{K. I. Beidar} et al., Trans. Am. Math. Soc. 353, No.
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On ϕ-ideals and the structure of Lie algebras

Journal of Algebra and Its Applications, 2020
This paper aims to study the concept of [Formula: see text]-ideals of a finite-dimensional Lie algebra which is analogous to the concept of [Formula: see text]-ideal and [Formula: see text]-normal subgroup. We compile some basic properties of [Formula: see text]-ideals and consider the influence of this concept on the structure of a finite-dimensional
Goudarzi, Leila, Riyahi, Zahra
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Derivations with Invertible Values on a Lie Ideal

Canadian Mathematical Bulletin, 1988
AbstractLet R be a ring which possesses a unit element, a Lie ideal U ⊄ Z, and a derivation d such that d(U) ≠ 0 and d(u) is 0 or invertible, for all u ∈ U. We prove that R must be either a division ring D or D2, the 2 X 2 matrices over a division ring unless d is not inner, R is not semiprime, and either 2R or 3R is 0.
J. BERGEN, CARINI, Luisa
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