Titlebook: General Theory of Leibniz Algebras; Leonid Kurdachenko,Oleksandr Pypka,Igor Subbotin Book 2024 The Editor(s) (if applicable) and The Autho

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Generalized Nilpotent Leibniz Algebras,This chapter delves into nilpotent Leibniz algebras and their natural extensions such as hypercentral Leibniz algebras and those satisfying the idealizer condition. It presents key properties of these algebras and proves the existence of the largest locally nilpotent ideal in any Leibniz algebra.

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The Derivations of One-Generator Leibniz Algebras,This chapter describes the algebras of derivations of one-generator Leibniz algebras.

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Book 2024results and methods successfully used in Leibniz algebras, but also show new prospective horizons. Any mathematical theories have a number of natural problems that arise in the process of its development, and these problems quite often have analogues in other areas such as differential geometry, hom

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1938-1743 ting and promising results in the area of Leibniz algebras f.This book discusses many interesting results have been obtained in Leibniz algebras over the past two decades. The authors not only summarize recent results and methods successfully used in Leibniz algebras, but also show new prospective h

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Book 2024algebras that have already been discovered. This approach allows readers to?see which parts of the theory should be developed further and also shows the significant differences of Leibniz algebras from Lie algebras. Recent results that constitute the naturally evolving general theory of the subject are then explored..

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1938-1743 s of the theory should be developed further and also shows the significant differences of Leibniz algebras from Lie algebras. Recent results that constitute the naturally evolving general theory of the subject are then explored..978-3-031-58150-2978-3-031-58148-9Series ISSN 1938-1743 Series E-ISSN 1938-1751