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math.RA2012★ 2 cited
Limit T-subspaces and the central polynomials in n variables of the Grassmann algebra
Dimas José Gonçalves, Alexei Krasilnikov, Irina Sviridova
Let F<X> be the free unitary associative algebra over a field F on the set X = {x_1, x_2, ...}. A vector subspace V of F<X> is called a T-subspace (or a T-space) if V is closed und…
math.RA2012★ 16 cited
The additive group of a Lie nilpotent associative ring
Alexei Krasilnikov
Let Z<X> be the free unitary associative ring freely generated by an infinite countable set X = {x_1, x_2,...}. Define a left-normed commutator [x_1, x_2, ..., x_n] by [a,b] = ab -…