The geometric classification of nilpotent algebras

نویسندگان

چکیده

We give a geometric classification of n-dimensional nilpotent, commutative nilpotent and anticommutative algebras. prove that the corresponding varieties are irreducible, find their dimensions describe explicit generic families algebras which define each these varieties. show some applications results in study length

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2023

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2023.04.028