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THE ALGEBRAIC AND GEOMETRIC CLASSIFICATION OF NILPOTENT NONCOMMUTATIVE JORDAN ALGEBRAS

Dilfuza TashpulotovaTeacher of Methodology of preschool and primary education Shakhrisabz branch of Tashkent State Pedagogical University named after Nizami

Emergent: Journal of Educational Discoveries and Lifelong Learning (EJEDL)journal2021en

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ABI

Annotatsiya

We give algebraic and geometric classifications of complex 4-dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only 18 non-isomorphic nontrivial nilpotent noncommutative Jordan algebras. The corresponding geometric variety is determined by the Zariski closure of 3 rigid algebras and 2 one-parametric families of algebras.

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Mavzular

Advanced Topics in Algebra Algebraic structures and combinatorial models Advanced Algebra and Geometry

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