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Second Virial Coefficients for N<sub>2</sub>···H<sub>2</sub> and NH···NH. [PDF]
J Phys Chem AAlves MDS, Ballester MY.
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On Lie ideals with generalized derivations
Siberian Mathematical Journal, 2006Summary: 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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Ideal hydrodynamics on Lie groups
Physica D: Nonlinear Phenomena, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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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
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Fuzzy Lie ideals and fuzzy Lie subalgebras
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chung-Gook Kim, Dong-Soo Lee
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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
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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
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Lie Ideals in Associative Algebras
Canadian Mathematical Bulletin, 1984AbstractIt 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, 1986The 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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