BIPROJECTIVITY AND BIFLATNESS OF LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM

DOI10.1017/S0004972714000483zbMath1317.46055MaRDI QIDQ5175067

Ali Ghafarpanah, Ali Rejali, Fatemeh Abtahi

Publication date: 19 February 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

biflatnessbiprojectivity

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) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Related Items (13)

Derivations on generalized semidirect products of Banach algebras ⋮ Biprojectivity and biflatness of bi-amalgamated Banach algebras ⋮ Biprojectivity and biflatness of generalized module extension Banach algebras ⋮ Module amenability, module character biprojectivity and module character biflatness of lau product of two Banach algebras ⋮ Some homological properties of \(T\)-Lau product algebras ⋮ Spectral properties and stability of perturbed Cartesian product ⋮ A NOTE ON CYCLIC AMENABILITY OF THE LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM ⋮ On various spectra of elements of \(\mathcal{A} \times_\theta \mathcal{B}\) ⋮ TRIVIALITY OF THE GENERALISED LAU PRODUCT ASSOCIATED TO A BANACH ALGEBRA HOMOMORPHISM ⋮ On amalgamated {B}anach algebras ⋮ Spectral properties of the Lau product \(\mathcal{A}\times_{\theta}\mathcal{B}\) of Banach algebras ⋮ ГИПЕРТАУБЕРОВЫ АЛГЕБРЫ, ОПРЕДЕЛЕННЫЕ ГОМОМОРФИЗМОМ БАНАХОВОЙ АЛГЕБРЫ ⋮ Character inner amenability for semigroups

Cites Work

• Generalized biprojectivity and biflatness of abstract Segal algebras
• On certain products of Banach algebras with applications to harmonic analysis
• Pseudo-amenable and pseudo-contractible Banach algebras
• Biflatness and Pseudo-Amenability of Segal Algebras
• Nilpotent ideals in a class of Banach algebras
• ARENS REGULARITY AND AMENABILITY OF LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM
• Approximate Diagonals and Cohomology of Certain Annihilator Banach Algebras
• Lectures on amenability

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