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math.RA2009★ 1 cited
Filtered Algebraic Algebras
Alon Regev
Small and Zelmanov posed the question whether every element of a graded algebra over an uncountable field must be nilpotent, provided that the homogeneous elements are nilpotent. T…
math.RA2009
The Golod Shafarevich counter-example without Hilbert series
Alon Regev, Amitai Regev
Let be an arbitrary field. The Golod-Shafarevich example of a finitely generated nil -algebra which is infinite dimensional -- is revisited. Here we offer a rather elementar…