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Some open subsets of the variety of n-dimensional algebras: Classifications and automorphisms

U. BekbaevDepartment of Natural and Mathematical Sciences, Turin Polytechnic University in Tashkent, Uzbekistan, Kichik xalqa yo’li-17, 100095
2026en

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ABI

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This paper discusses the construction of certain open invariant of n-dimensional algebras, which are closed under direct sum, tensor product, and scalar multiplication. It is demonstrated that all algebras within these subsets can be classified up to isomorphism by specifying their canonical forms. Furthermore, these algebras possess only trivial automorphisms and lack invertible derivations.

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