Titlebook: Associative and Non-Associative Algebras and Applications; 3rd MAMAA, Chefchaou Mercedes Siles Molina,Laiachi El Kaoutit,Mohamed B Conferen

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Multiplication Algebras: Algebraic and Analytic AspectsApplications of multiplication algebras to the algebraic and analytic strengthenings of primeness and semiprimeness of (possibly non-associative) algebras are fully surveyed, and complete normed complex algebras whose closed multiplication algebras satisfy the von Neumann inequality are studied in detail.

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Generalized Drazin Inverse and Commuting Riesz PerturbationsIn this note, we provide necessary and sufficient conditions for the stability of generalized Drazin invertible operators under commuting Riesz perturbation. We also focus on the commuting perturbation class of meromorphic operators.

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Frobenius Monoidal Algebras and Related TopicsWe survey results on Frobenius algebras and illustrate their importance to the structure of some generalizations of the notion of Hopf algebra, as well as their connections to topics like monoidal categories, 2-categories, functors, topological quantum field theories, etc.

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