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.
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The second author was supported by Grant-in-Aid for Scientific Research (No. 21540056) of Japan Society for the Promotion of Science.
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Helmi, M.R., Marubayashi, H. & Ueda, A. Differential polynomial rings which are generalized Asano prime rings. Indian J Pure Appl Math 44, 673–681 (2013). https://doi.org/10.1007/s13226-013-0035-6
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DOI: https://doi.org/10.1007/s13226-013-0035-6