Results 31 to 40 of about 268,118 (176)
Applying Group Theory Philosophy to Leibniz Algebras: Some New Developments [PDF]
Advances in Group Theory and Applications, 2020 This survey is an attempt of describing of main contours of a recently developing general theory of Leibniz Algebras. This theory based on the employing of methods and approaches which are proved to be exceedingly effective in infinite group theory.
Leonid A. Kurdachenko +2 more
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On Leibniz-Poisson special polynomial identities
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 In this paper we study Leibniz-Poisson algebras satisfying polynomial identities. We study Leibniz-Poisson special and Leibniz-Poisson extended special polynomials.
Sergey M Ratseev, Olga I Cherevatenko
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On the structure of Leibniz algebras, whose subalgebras are ideals or core-free
Доповiдi Нацiональної академiї наук УкраїниAn algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra), if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]] — [b, [a, c]] for all a, b, c ∈ L. Leibniz algebras are generalizations of Lie algebras.
V.A. Chupordia +2 more
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The least dimonoid congruences on relatively free trioids
Математичні Студії, 2022 When Loday and Ronco studied ternary planar trees, they introduced types of algebras, called trioids and trialgebras. A trioid is a nonempty set equipped with three binary associative operations satisfying additional eight axioms relating these ...
A. V. Zhuchok
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Feedback Linearisation with State Constraints
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
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On Leibniz algebras, whose subideals are ideals
Доповiдi Нацiональної академiї наук УкраїниWe obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz T-algebras essentially depends on the
L.A. Kurdachenko +2 more
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From Groups to Leibniz Algebras: Common Approaches, Parallel Results [PDF]
Advances in Group Theory and Applications, 2018 In this article, we study (locally) nilpotent and hyper-central Leibniz algebras. We obtained results similar to those in group theory. For instance, we proved a result analogous to the Hirsch-Plotkin Theorem for locally nilpotent groups.
L.A. Kurdachenko +2 more
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The Additive Logic of Epistemic Reasons: An Axiomatic Account
Theoria, EarlyView.ABSTRACT The article argues for a system of axioms that is meant to capture the logic of normative reasons for belief. The system concerns a primitive direct‐reason relation, a defined doxastic‐reason relation, and a primitive function for the revision of rational belief by reasons.
Hannes Leitgeb
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Leibniz algebras, having a dense family of ideals
Karpatsʹkì Matematičnì Publìkacìï, 2020 We say that a Leibniz algebra $L$ has a dense family of ideals, if for every pair of subalgebras $A$, $B$ of $L$ such that $A\leqslant B$ and $A$ is not maximal in $B$ there exists an ideal $S$ such that $A\leqslant S\leqslant B$.
N.N. Semko, L.V. Skaskiv, O.A. Yarovaya
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Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
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