Titlebook: Algebraic Structures and Applications; SPAS 2017, Västerås Sergei Silvestrov,Anatoliy Malyarenko,Milica Ranči Conference proceedings 2020

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Ore Extensions of Function Algebras,In this article we consider the Ore extension algebra for the algebra . of functions with finite support on a countable set. We derive explicit formulas for twisted derivations on . give a description for the centralizer of . and the center of the Ore extension algebra under specific conditions.

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Über den Umgang der Justiz mit Kritiked BiHom-Lie-Leibniz algebra and study various type of .-ary BiHom-Lie algebras and BiHom-associative algebras. We show that .-ary BiHom-Lie-Leibniz algebra can be represented by BiHom-Lie-Leibniz algebra through fundamental objects. Moreover, we provide some key constructions and study .-ary BiHom-Lie algebras induced by .-ary BiHom-Lie algebra.

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On ,-ary Generalization of BiHom-Lie Algebras and BiHom-Associative Algebras,ed BiHom-Lie-Leibniz algebra and study various type of .-ary BiHom-Lie algebras and BiHom-associative algebras. We show that .-ary BiHom-Lie-Leibniz algebra can be represented by BiHom-Lie-Leibniz algebra through fundamental objects. Moreover, we provide some key constructions and study .-ary BiHom-Lie algebras induced by .-ary BiHom-Lie algebra.

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On Solvability and Nilpotency for ,-Hom-Lie Algebras and ,-Hom-Lie Algebras Induced by ,-Hom-Lie Aland to study their properties. We define .-derived series, .-central descending series and study their properties, we show that .-solvability is a radical property and we apply all of the above to the case of .-Hom-Lie algebras induced by .-Hom-Lie algebras.

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Über den Umgang der Justiz mit Kritiked BiHom-Lie-Leibniz algebra and study various type of .-ary BiHom-Lie algebras and BiHom-associative algebras. We show that .-ary BiHom-Lie-Leibniz algebra can be represented by BiHom-Lie-Leibniz algebra through fundamental objects. Moreover, we provide some key constructions and study .-ary BiHom-