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- W2105704703 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." @default.
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- W2105704703 date "2010-10-01" @default.
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- W2105704703 title "2-Generated nilpotent algebras and Eggert's conjecture" @default.
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- W2105704703 doi "https://doi.org/10.1016/j.jalgebra.2010.04.026" @default.
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