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Dispersive lensing and shadows in RN-AdS spacetimes with dark energy and plasma: theory and observational constraints. [PDF]
Pradhan A, Ghaderi K, Zeyauddin M.
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Gastric mucinous adenocarcinoma presenting with chronic cough, bronchovascular bundle thickening, and multiple pulmonary nodules: a case report. [PDF]
Huang H, Chen F, Huang H, Su X, Duan M.
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DG-FuseNet: A Dual-Scale Dynamical Gated Fusion Framework for Cross-Domain Fault Diagnosis in Rotating Machinery. [PDF]
Zhang D, Deng X, Liao Y, Gui J, Zhang J.
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On the fundamental theorem of regular local rings
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A REMARK ON THE HENSELIZATION OF A REGULAR LOCAL RING
Chinese Annals of Mathematics Series B, 1999The author gives a characterization of the Henselization of an excellent regular local ring in terms of elements of the completion. Thus if \((R,m)\) is an excellent regular local with \(\widehat R\) as its completion, then an element \(a\) belongs to the Henselization \(\widetilde R\) if and only if there exists \(a b\) in \(\widehat R\) such that a \(
CARLOS Galindo
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p-BASIS OF A REGULAR SEMI-LOCAL RING
SUT Journal of Mathematics, 1995On démontre la généralisation suivante d'un théorème donné aussi des mêmes auteurs [J. Math. Soc. Japan 34, 371-378 (1982; Zbl 0478.13009)]. Soient \(p > 0\) un nombre premier, \(R\) un anneau semilocal régulier de caractéristique \(p\) et \(R' \supseteq R^p\) un sous-anneau de \(R\) tel que \(R\) soit fini sur \(R'\).
KIMURA, Tetsuzo, NIITSUMA, Hiroshi
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We prove that a quadratic A[T]-module Q with Witt index (Q/TQ)⩾d, where d is the dimension of the equicharacteristic regular local ring A, is extended from A.
Ravi A Rao
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