Geodesic
Quasi-Duality, Linear Compactness and Morita Duality for Power Series Rings
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 250-256

Voir la notice de l'article provenant de la source Cambridge University Press

AS a generalization of Morita duality, Kraemer introduced the notion of quasi-duality and showed that each left linearly compact ring has a quasi-duality. Let R be an associative ring with identity and R[[x]] the power series ring. We prove that (1) R[[x]] has a quasi-duality if and only if R has a quasi-duality; (2) R[[x]] is left linearly compact if and only if R is left linearly compact and left noetherian; and (3) R[[x]] has a Morita duality if and only if R is left noetherian and has a Morita duality induced by a bimodule RUS such that S is right noetherian.
DOI : 10.4153/CMB-1996-032-7
Mots-clés : 16D90, 16P40 
Xue, Weimin. Quasi-Duality, Linear Compactness and Morita Duality for Power Series Rings. Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 250-256. doi: 10.4153/CMB-1996-032-7
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