Goldie Ranks of Skew Power Series Rings of Automorphic Type

Details Goldie Ranks of Skew Power Series Rings of Automorphic Type Goldie Ranks of Skew Power Series Rings of Automorphic Type

2008-12-10

arxiv.org/abs/0812.2010v3

Mathematics

Rings and Algebras

Revised. To appear in Communications in Algebra

Scientific paper

Let A be a semprime, right noetherian ring equipped with an automorphism
alpha, and let B := A[[y; alpha]] denote the corresponding skew power series
ring (which is also semiprime and right noetherian). We prove that the Goldie
ranks of A and B are equal. We also record applications to induced ideals.

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