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

idiopathic

Enveloping Algebras of Certain Types of Color Hom-Lie Algebras,ebras. Finally, this construction is applied to obtain the extension of the well-known Poincaré–Birkhoff–Witt theorem for Lie algebras to the enveloping algebra of the certain types of color hom-Lie algebra such that some power of the twisting map is the identity map.

Inertia

Strong Hom-Associativity,gebra does in fact produce strongly hom-associative algebras. It is proved that the axioms for a strongly hom-associative algebra yields a confluent rewrite system, and a basis for the free strongly hom-associative algebra is given a finite presentation through a parsing expression grammar.

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On Hom-Yetter-Drinfeld Category,modules comodules) is a braided tensor subcategory of .. As a generalization of Radford biproduct Hom-Hopf algebra, we derive necessary and sufficient conditions for .-smash product Hom-algebra . and .-smash coproduct Hom-coalgebra . to be a Hom-Hopf algebra. At last, two nontrivial examples are given.

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贵族

Ternary Lie Superalgebras and Nambu-Hamilton Equation in Superspace,atrix Lie superalgebra . by means of the supertrace of a matrix. We propose a generalization of Nambu-Hamilton equation in superspace. We show that this generalization induces a family of ternary Nambu-Poisson brackets, which is defined with the help of Berezinian.

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GUISE

Algebras with Ternary Composition Law Combining , and , Gradings,a with quadratic and cubic constitutive relations coexisting together. We recall the classification of ternary and cubic algebras according to the symmetry properties of ternary products under the action of the . permutation group. Instead of only two kinds of binary algebras, symmetric or antisymme

疏忽

Ternary Lie Superalgebras and Nambu-Hamilton Equation in Superspace, of Nambu-Hamilton equation to a superspace and show that this generalization induces a family of ternary Nambu-Poisson brackets of even degree functions on a superspace. Then we show that the construction of ternary quantum Nambu-Poisson bracket, based on the trace of a matrix, can be extended to m

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