Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771751 | Journal of Algebra | 2017 | 18 Pages |
Abstract
Let k be a field and let A=â¨nâ¥1An be a positively graded k-algebra. We recall that A is graded nilpotent if for every dâ¥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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jason P. Bell, Be'eri Greenfeld,