Results 281 to 290 of about 4,501 (310)

Densely embedded ideals of lie algebras

Siberian Mathematical Journal, 1974
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Centralizers and Lie ideals

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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Closed Lie Ideals in Operator Algebras

Canadian Journal of Mathematics, 1981
If 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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Notes on generalized Lie ideals

1999
Summary: \textit{J.~Bergen, I.~N.~Herstein} and \textit{J.~W.~Kerr} [J. Algebra 71, 259-267 (1981; Zbl 0463.16023)] have proved: Let \(R\) be a prime ring of characteristic \(\neq 2\). If \(U\) is a noncentral Lie ideal of \(R\), then there exists an ideal \(M\) of \(R\) such that \([M,R]\subseteq U\) but \([M,R]\not\subseteq Z\).
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Intuitionistic Fuzzy Lie Ideals

2018
In this chapter, we present certain concepts, including intuitionistic fuzzy Lie subalgebras, Lie homomorphisms, intuitionistic fuzzy Lie ideals, special types of intuitionistic fuzzy Lie ideals, intuitionistic (S, T)-fuzzy Lie ideals, nilpotency of intuitionistic (S, T)-fuzzy Lie ideals, and intuitionistic (S, T)-fuzzy Killing form.
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On ideals of free polynipotent lie algebras

Communications in Algebra, 1991
This paper investigates ideals in free polynilpotent Lie algebras. In §2 it is shown that if S is a non-zero finitely generated subalgebra that is an ideal in a free polynilpotent Lie algebra L, then S = L. In §3 it is proved that if L is a free polynilpotent Lie algebra and S is a nonabelian free polynilpotent ideal in L, then S is a term of the ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
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Obesity and adverse breast cancer risk and outcome: Mechanistic insights and strategies for intervention

Ca-A Cancer Journal for Clinicians, 2017
Cynthia Morata-Tarifa, Joyce M Slingerland   +1 more
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Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma

Ca-A Cancer Journal for Clinicians, 2020
Aaron J Grossberg, William L Hwang, Anirban Maitra   +2 more
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Quasi-Ideals of Lie Algebras I

Proceedings of the London Mathematical Society, 1976
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