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Periprocedural evaluation of patients with BAV stenosis undergoing TAVR: a machine learning-based study. [PDF]

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Mao Y, Chen Y, Zhai M, Jin P, Li W, Gou Y, Liu Y, Zhang J, Yang J.   +8 more
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2-Local Derivations on the Schrödinger Algebra

Bulletin of the Iranian Mathematical Society, 2022
A \(2\)-local derivation of a Lie algebra \(L\) is a map \(\Delta \colon L \to L,\) non necessarily linear, such that for every pair \(x,y\) of elements in \(L\) there is a derivation \(D_{x,y}\) of \(L\) satisfying \(D_{x,y} (x)= \Delta(x)\) and \(D_{x,y} (y)=\Delta (y).\) Just as it is for derivations and their generalizations, \(2\)-derivations have
Qingyan Wu, Xiaomin Tang
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2-Local Derivations on Some $$ C^* $$ C ∗ -Algebras

Bulletin of the Iranian Mathematical Society, 2018
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Habibzadeh Fard, Meysam, Sahleh, Abbas
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Local and 2-local derivations on octonion algebras

Journal of Algebra and Its Applications, 2022
This paper is devoted to study of local and 2-local derivations on octonion algebras. We shall give a general form of local derivations on the real octonion algebra [Formula: see text]. This description implies that the space of all local derivations on [Formula: see text] when equipped with Lie bracket is isomorphic to the Lie algebra [Formula: see ...
Shavkat Ayupov, Karimbergen Kudaybergenov, Allayar Allambergenov   +2 more
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Derivations and 2-Local Derivations on Matrix Algebras and Algebras of Locally Measurable Operators

Bulletin of the Malaysian Mathematical Sciences Society, 2018
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Huang, Wenbo, Li, Jiankui, Qian, Wenhua
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2-Local Derivations on the Centerless Ovsienko-Roger Algebra

Journal of Lie Theory
The centerless Ovsienko-Roger algebra \(\mathfrak{L}_\lambda\) is an infinite-dimensional Lie algebra, which includes some important Lie algebras as special cases. For example, \(\mathfrak{L}_0\) is the centerless twisted Heisenberg-Virasoro algebra and \(\mathfrak{L}_1\) is the centerless \(W\)-algebra \(W(2,2)\).
Liu, Yan, Ma, Yao, Chen, Liangyun
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2-Local derivations on generalized Witt algebras

Linear and Multilinear Algebra, 2019
In the present paper, we study 2-local derivations on the so-called infinite dimensional generalized Witt algebras.
Shavkat Ayupov, Karimbergen Kudaybergenov, Baxtiyor Yusupov   +2 more
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Local and 2-Local Derivations of p-Filiform Leibniz Algebras

Journal of Mathematical Sciences, 2020
The authors study local and 2-local derivations of \(p\)-filiform Leibniz algebras and describe all local derivations of \(p\)-filiform non-Lie Leibniz algebras. For these algebras, the existence is shown of 2-local derivations, which are not derivations.
Ayupov, Sh. A., Kudaibergenov, K. K., Yusupov, B. B.   +2 more
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2-Local derivations of Heisenberg–Virasoro type Lie algebras

Journal of Algebra and Its Applications
Let [Formula: see text] with [Formula: see text] be the Heisenberg–Virasoro type Lie algebras, and [Formula: see text] be a thin Lie algebra with only one diamond. In this paper, we study [Formula: see text]-local derivations on [Formula: see text] and [Formula: see text].
Chunguang Xia, Xiao Dong, Tianyu Ma
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