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Group Gradings on Free Algebras of Nilpotent Varieties of Algebras

Bahturin, Yuri — 2012

Serdica Mathematical Journal

2010 Mathematics Subject Classification: Primary 16W50, 17B70; Secondary 16R10. The main result is the classification, up to isomorphism, of all gradings by arbitrary abelian groups on the finitely generated algebras that are free in a nilpotent variety of algebras over an algebraically closed field of characteristic zero. The research was supported by an NSERC Discovery Grant #227060-09

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