Differential polynomial rings which are generalized Asano prime rings

M. R. Helmi (), H. Marubayashi () and A. Ueda ()
Additional contact information
M. R. Helmi: Andalas University
H. Marubayashi: Tokushima Bunri University
A. Ueda: Shimane University

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 5, 673-681

Abstract: Abstract Let R[x; δ] be a differential polynomial ring over a prime Goldie ring R in an indeterminate x, where δ is a derivation of R. In this paper, we describe explicitly the group of δ-stable v-R-ideals and using this results, we show that R[x; δ] is a generalized Asano prime ring if and only if R is a δ-generalized Asano prime ring.

Keywords: Differential polynomial ring; generalized Asano prime ring; prime Goldie ring; δ-stable v-ideal (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0035-6

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