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Right Alternative Superalgebras of Capacity 1 with Strongly Alternative Even Part

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We look at the structure of a unital right alternative superalgebra of capacity 1 over an algebraically closed field assuming that its even part is finite-dimensional and strongly alternative. It… Click to show full abstract

We look at the structure of a unital right alternative superalgebra of capacity 1 over an algebraically closed field assuming that its even part is finite-dimensional and strongly alternative. It is proved that the condition of being simple for such a superalgebra implies the simplicity of its even part.

Keywords: right alternative; part; capacity; even part; strongly alternative

Journal Title: Algebra and Logic
Year Published: 2020

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