Results 31 to 40 of about 3,875,166 (215)
Nonassociative Algebras: A Framework for Differential Geometry
International Journal of Mathematics and Mathematical Sciences, 2003 A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
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Braided Lie bialgebras associated to Kac-Moody algebras [PDF]
, 2008 Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of Hopf algebras in braided categories. In this paper we extend previous work of Majid and of ours to show that there is a braided-Lie bialgebra associated to each inclusion of Kac-
Grabowski, Jan
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Free pre-Lie algebras of finite posets
Journal of Algebra and Its Applications, 2023 We first recall the construction of a twisted pre-Lie algebra structure on the species of finite connected topological spaces. Then, we construct a corresponding non-coassociative permutative (NAP) coproduct on the subspecies of finite connected [Formula: see text] topological spaces, i.e.
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Free Pre-Lie Algebras are Free as Lie Algebras [PDF]
Canadian Mathematical Bulletin, 2010 AbstractWe prove that the -module PreLie is a free Lie algebra in the category of -modules and can therefore be written as the composition of the -module Lie with a new -module X. This implies that free pre-Lie algebras in the category of vector spaces, when considered as Lie algebras, are free on generators that can be described using X.
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An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
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Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras
Extracta Mathematicae, 2022 The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras.
T. Chtioui, S. Mabrouk, A. Makhlouf
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European Journal of Personality, EarlyView., 2020 Abstract This study explored the validity of person judgements by targets and their acquaintances (‘informants’) in longitudinally predicting a broad range of psychologically meaningful life experiences. Judgements were gathered from four sources (targets, N = 189; and three types of informants, N = 1352), and their relative predictive validity was ...
Nele M. Wessels +3 more
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Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2023 In this paper, we first define the pre-Lie family algebra associated to a dendriform family algebra in the case of a commutative semigroup. Then we construct a pre-Lie family algebra via typed decorated rooted trees, and we prove the freeness of this pre-Lie family algebra. We also construct pre-Lie family operad in terms of typed labeled rooted trees,
Yuanyuan Zhang, Dominique Manchon
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The Frattini p-subalgebra of a solvable Lie p-algebra [PDF]
, 1997 In this paper we continue our study of the Frattini p-subalgebra of a Lie p-algebra L. We show first that if L is solvable then its Frattini p-subalgebra is an ideal of L. We then consider Lie p-algebras L in which L^2 is nilpotent and find necessary and
Towers, David, Lincoln, Mark
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Burde’s series of simple pre-Lie algebras
São Paulo Journal of Mathematical Sciences, 2023 10 ...
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