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Journal of Generalized Lie Theory and Applications

Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Eggert's Conjecture for 2-Generated Nilpotent Algebras

Abstract

Miroslav Korbela

Let A be a commutative nilpotent finitely-dimensional algebra over a field F of characteristic p > 0. A conjecture of Eggert says that p. dim A(p) dim A, where A(p) is the subalgebra of A generated by elements ap , a ∈ A. We show that the conjecture holds if A(p) is at most 2-generated.

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