Article ID Journal Published Year Pages File Type
5771751 Journal of Algebra 2017 18 Pages PDF
Abstract
Let k be a field and let A=⨁n≥1An be a positively graded k-algebra. We recall that A is graded nilpotent if for every d≥1, the subalgebra of A generated by elements of degree d is nilpotent. We give a method of producing grading nilpotent algebras and use this to prove that over any base field k there exists a finitely generated graded nilpotent algebra that contains a free k-subalgebra on two generators.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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