On lower central series quotients of finitely generated algebras over Z
نویسندگان
چکیده
منابع مشابه
On Successive Quotients of Lower Central Series Ideals for Finitely Generated Algebras
This paper examines the behavior of the successive quotients Ni(A) of the lower central series ideals Mi(A) of a nitely generated associative algebra A over Z. We de ne the lower central series Li(A) by L1(A) = A, Li+1(A) = [A,Li(A)], Mi(A) = A · Li(A) · A, and Ni(A) = Mi(A)/Mi+1(A). We decompose the Ni into its free and torsion components using the structure theorem of nitely generated abelian...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2015
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.10.018