Results 271 to 280 of about 4,501 (310)

Ideal hydrodynamics on Lie groups

Physica D: Nonlinear Phenomena, 2006
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\(c^\#\)-ideals of Lie algebras

2021
Summary: Let \(L\) be a finite dimensional Lie algebra. A subalgebra \(H\) of \(L\) is called a \(c^\#\)-ideal of \(L\), if there is an ideal \(K\) of \(L\) with \(L=H+K\) and \(H\cap K\) is a \(CAP\)-subalgebra of \(L\). This is analogous to the concept of a \(c^\#\)-normal subgroup of a finite group.
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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 . Then we prove that a Lie algebra is nilpotent if and only if any fuzzy Lie ideal of it, is a good nilpotent fuzzy Lie
Mohammadzadeh, E., Muhiuddin, G., Zhan, J., Borzooei, R.A.   +3 more
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Fuzzy Lie ideals and fuzzy Lie subalgebras

Fuzzy Sets and Systems, 1998
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Kim, Chung-Gook, Lee, Dong-Soo
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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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Genelleştirilmiş Lie idealler

2021
SUMMARY In the first chapter, we give some basis definations and properties. In the 2nd chapter, it is given some important properties about the Lie and Jordan ideals. Also in this chapter, it is seen that a given ring is commutative under some conditions In the 3nd chapter, we generalized some consequences on Lie and Jordan frames which are obtained ...
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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.
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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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Lie ideals and nil derivations

1985
Let R be a 2-torsion free ring, d a derivation of R, and U a Lie ideal of R. The authors obtain extensions to Lie ideals of some results in the literature for ideals. Specifically, by assuming that \(d(x)^{n(x)}=0\) for each \(x\in U\), they prove that \(d(U)=0\) when either: R is a semi- simple ring; R is a prime ring containing no nonzero nil right ...
CARINI, Luisa, A. GIAMBRUNO
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