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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
Finitely generated algebras with involution and their identities
Irina Sviridova
Associative algebras with involution over a field of zero characteristic are considered. It is proved that in this case for any finitely generated associative algebra with involuti…