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On Lotka-Volterra algebras

Juan C. Gutierrez Fernandez,I Garcia Claudia

JOURNAL OF ALGEBRA AND ITS APPLICATIONS（2019）

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Abstract
The purpose of this paper is to study the structure of Lotka-Volterra algebras, the set of their idempotent elements and their group of automorphisms. These algebras are defined through antisymmetric matrices and they emerge in connection with biological problems and Lotka- Volterra systems for the interactions of neighboring individuals.
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Key words
Lotka-Volterra system,Lotka-Volterra algebra,derivation
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