Symmetric Utumi quotient rings of Ore extensions by skew derivations
Resource
Proceedings of the American Mathematical Society, 138(9), 3125-3133
Journal
Proceedings of the American Mathematical Society
Pages
3125
Date Issued
2010
Date
2010
Author(s)
Chuang, Chen-Lian
Tsai, Yuan-Tsung
Abstract
Let R be a ring, X a sequence of noncommuting indeterminates x1, x2,⋯ and D a sequence of skew derivations δ1, δ2,⋯, where each δi is a σi-derivation of R. The Ore extension of R by D, denoted by R[X; D], is the ring generated by R and X subjected to the rule xir = σi(r)xi +δi(r) for each i. If |X| ≥ 2 and R is a domain, we show that the symmetric maximal ring of quotients of R[X;D] is equal to Us(R)[X; D], where Us(R) is the symmetric maximal ring of quotients of R. © 2010 American Mathematical Society.
Type
journal article
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