Details:
Title | 2-Generated nilpotent algebras and Eggert | Author(s) | Miroslav | Type | Article in Journal | Abstract | Let A be a commutative nilpotent finitely-dimensional 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 2-generated. We give a complete characterization of 2-generated nilpotent commutative algebras in the terms of standard basis with respect to the reverse lexicographical ordering. | Keywords | Nilpotent algebra, Eggert | ISSN | 0021-8693 |
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 |
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