Results 231 to 240 of about 61,050 (267)
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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 . 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. +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 . 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. +3 more
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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.
Kim, Chung-Gook, Lee, Dong-Soo
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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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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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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, 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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Lie superhomomorphisms on Lie ideals in superalgebras
Israel Journal of Mathematics, 2013In 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
1985Let 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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Densely embedded ideals of lie algebras
Siberian Mathematical Journal, 1974zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1987
The author proves a version of I. N. Herstein's hypercenter theorem [\textit{I. N. Herstein}, J. Algebra 36, 151-157 (1975; Zbl 0313.16036)] for Lie ideals in prime rings. For any subset S in a ring R let the hypercenter of S be defined as \(H(S)=\{x\in R|\) for each \(s\in S\) there is \(n=n(x,s)>1\) so that \(xs^ n=s^ nx\}\).
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The author proves a version of I. N. Herstein's hypercenter theorem [\textit{I. N. Herstein}, J. Algebra 36, 151-157 (1975; Zbl 0313.16036)] for Lie ideals in prime rings. For any subset S in a ring R let the hypercenter of S be defined as \(H(S)=\{x\in R|\) for each \(s\in S\) there is \(n=n(x,s)>1\) so that \(xs^ n=s^ nx\}\).
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Closed Lie Ideals in Operator Algebras
Canadian Journal of Mathematics, 1981If M is an associative algebra with product xy, M can be made into a Lie algebra by endowing M with a new multiplication [x, y] = xy – yx. The Poincare-Birkoff-Witt Theorem, in part, shows that every Lie algebra is (Lie) isomorphic to a Lie subalgebra of such an associative algebra M. A Lie ideal in M is a linear subspace U ⊆ M such that [x, u] ∊ U for
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