Biprojectivity and biflatness of amalgamated duplication of Banach algebras

DOI10.1142/S0219498820501327OpenAlexW4251977754WikidataQ114614624 ScholiaQ114614624MaRDI QIDQ3303797

Ali Jabbari, Ali Ebadian

Publication date: 4 August 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820501327

zbMATH Keywords

Banach algebraamenabilitymodule amenabilitybiflatbiprojectivesuper (module) amenability

Mathematics Subject Classification ID

Projective and injective objects in functional analysis (46M10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Tensor products in functional analysis (46M05)

Related Items (6)

Biprojectivity of generalized module extension and second dual of Banach algebras ⋮ Characterization of homological properties of θ-Lau product of Banach algebras ⋮ The Bochner–Schoenberg–Eberlein property for amalgamated duplication of Banach algebras ⋮ Homological properties of some types of generalized matrix Banach algebras ⋮ C∗-algebras defined by amalgamated duplication of C∗-algebras ⋮ Some homological results for amalgamated duplication of Banach algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Derivations on generalized semidirect products of Banach algebras
• On amalgamated {B}anach algebras
• Module amenability for semigroup algebras
• (Super) module amenability, module topological centre and semigroup algebras
• Weak\(^*\)-continuous derivations on module extension of dual Banach algebras
• On module extension Banach algebras
• Super module amenability of inverse semigroup algebras
• Induced Banach representations of Banach algebras and locally compact groups
• Module Biflatness of the second dual of Banach algebras
• Weak amenability of module extensions of Banach algebras
• Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups
• Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups
• MODULE EXTENSION OF DUAL BANACH ALGEBRAS
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Algebraic and strong splittings of extensions of Banach algebras
• Amalgamated duplication of the Banach algebra 𝔄 along a 𝔄-bimodule 𝒜
• Module Biprojective and Module Biflat Banach Algebras
• Lectures on amenability

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