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On biprojectivity and Connes biprojectivity of a dual Banach algebra with respect to a $w^{*}$-closed ideal

In this paper, we introduce a notion of Connes biprojectivity for a dual Banach algebra $A$ with respect to its $w^{*}$-closed ideal $I$, say $I$-Connes biprojectivity. Some Lipschitz algebras $Lip_{\alpha}(X)$ and some matrix algebras are studied under this new notion. Also, with some mild assumpti...

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Bibliografiska uppgifter
Huvudupphov: Amir Sahami, S. Fatemeh Shariati, Mehdi Rostami, Mona Aj
Materialtyp: Artigo
Språk:Inglês
Utgiven: Amirkabir University of Technology 2024-07-01
Serie:AUT Journal of Mathematics and Computing
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Länkar:https://ajmc.aut.ac.ir/article_5164_b33bae49dddcfe0939172aa78ab65980.pdf
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