Eggert's Conjecture for 2-Generated Nilpotent Algebras
Charles University, Faculty of Mathematics and Physics, Department of Algebra, Sokolovska, Czech Republic
- Corresponding Author:
- Miroslav Korbelar
Faculty of Mathematics and Physics
Department of Algebra, Charles University
Sokolovska 83, 186 75 Prague 8, Czech Republic
Tel: +420 224 491 111
E-mail: [email protected]
Received date: July 24, 2015 Accepted date: August 03, 2015 Published date: August 31, 2015
Citation: Korbelar M (2015) Eggert’s Conjecture for 2-Generated Nilpotent Algebras. J Generalized Lie Theory Appl S1:001. doi:10.4172/1736-4337.S1-001
Copyright: © 2015 Korbelar M, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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.