Titlebook: Non-Associative Algebras and Related Topics; NAART II, Coimbra, P Helena Albuquerque,Jose Brox,Paulo Saraiva Conference proceedings 2023 Th

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Schreier’s Type Formulae and Two Scales for Growth of Lie Algebras and Groupsa . Any subalgebra of a free Lie algebra is also free. But a straightforward analogue of Schreier’s formula for free Lie algebras does not exist, because any subalgebra of finite codimension has an infinite number of generators. But the appropriate Schreier’s formula for free Lie algebras exists in

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Universal Central Extensions of Compatible Leibniz Algebraslogy with trivial coefficients for compatible Leibniz algebras and use it to construct the universal central extension of a perfect compatible Leibniz algebra. Furthermore, we conjecture that the category of compatible Leibniz algebras does not satisfy the . condition, namely, the composition of cen

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Biderivations of Low-Dimensional Leibniz Algebrasld ., with .. We describe the main properties of such class of Leibniz algebras and we also compute the biderivations of the four-dimensional . .. Eventually we give an algorithm for finding derivations and anti-derivations of a Leibniz algebra as pair of matrices with respect to a fixed basis.

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Invariant Theory of Free Bicommutative Algebras. and .. Let . be the free .-generated bicommutative algebra over a field . of characteristic 0. We study the algebra . of invariants of a subgroup . of the general linear group .. When . is finite we search for analogies of classical results of invariant theory of finite groups acting on polynomial

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Pilar Benito,Jorge Roldán-Lópezor aspects of HDL-based design. First, modeling very large designs with concise, accurate, and intuitive code. Second, writing high-level test programs to efficiently and effectively verify these large designs...The first edition of this book addressed the first aspect of the SystemVerilog extension