Details:
Title  2Generated nilpotent algebras and Eggert  Author(s)  Miroslav Korbelář  Type  Article in Journal  Abstract  Let A be a commutative nilpotent finitelydimensional algebra over a field F of characteristic p > 0 . A conjecture of Eggert (1971) [4] says that p ⋅ dim A ( p ) ⩽ dim A , where A ( p ) is the subalgebra of A generated by elements a p , a ∈ A . We show that the conjecture holds if A ( p ) is at most 2generated. We give a complete characterization of 2generated nilpotent commutative algebras in the terms of standard basis with respect to the reverse lexicographical ordering.  Keywords  Nilpotent algebra, Eggert  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869310002176 
Language  English  Journal  Journal of Algebra  Volume  324  Number  7  Pages  1558  1576  Year  2010  Edition  0  Translation 
No  Refereed 
No 
