Bhatwadekar, S.M. ; Gupta, Neena (2011) On locally quasi A∗ algebras in codimension-one over a Noetherian normal domain Journal of Pure and Applied Algebra, 215 (9). pp. 2242-2256. ISSN 0022-4049
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Official URL: http://doi.org/10.1016/j.jpaa.2011.02.013
Related URL: http://dx.doi.org/10.1016/j.jpaa.2011.02.013
Abstract
Let R be Noetherian normal domain. We shall call an R-algebra A quasi A* if A = R[X, (aX + b) −1 ] where X ∈ A is a transcendental element over R, a ∈ R \ 0, b ∈ R and (a, b)R = R. In this paper we shall describe a general structure for any faithfully flat R-algebra A which is locally quasi A* in codimension-one over R. We shall also investigate minimal sufficient conditions for such an algebra to be finitely generated.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 121209 |
| Deposited On: | 13 Jul 2021 04:50 |
| Last Modified: | 13 Jul 2021 04:50 |
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