Module approximate biprojectivity and module approximate biflatness of Banach algebras

DOI10.1007/s12215-020-00503-8zbMath1469.46073OpenAlexW3088510070MaRDI QIDQ2024427

Abasalt Bodaghi, Somaye Grailoo Tanha

Publication date: 4 May 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00503-8

zbMATH Keywords

inverse semigroupmodule amenabilitymodule approximate biflatnessmodule approximate biprojectivity

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) Inverse semigroups (20M18) Measure algebras on groups, semigroups, etc. (43A10)

Related Items

Diagonals of Lau product Banach algebras, A notion of approximate biflatness for Banach algebras based on character space

Cites Work

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• A note on two equivalence relations on inverse semigroups.
• Module amenability for semigroup algebras
• (Super) module amenability, module topological centre and semigroup algebras
• Module amenability of the second dual and module topological center of semigroup algebras
• Generalized notions of amenability.
• Functional calculus in weighted group algebras
• Generalized notions of amenability. II
• Approximate biprojectivity and $\phi $-biflatness of certain Banach algebras
• Module Biflatness of the second dual of Banach algebras
• Pseudo-amenable and pseudo-contractible Banach algebras
• Amenability of Weighted Convolution Algebras on Locally Compact Groups
• Biflatness and Pseudo-Amenability of Segal Algebras
• A Class of Irreducible matrix representations of an Arbitrary Inverse Semigroup
• Amenability for discrete convolution semigroup algebras.
• Amenability of inverse semigroups and their semigroup algebras
• Nilpotent ideals in a class of Banach algebras
• Approximate complementation and its applications in studying ideals of Banach algebras
• APPROXIMATELY BIPROJECTIVE BANACH ALGEBRAS AND NILPOTENT IDEALS
• Module Biprojective and Module Biflat Banach Algebras
• Module Pseudo-amenability of Banach algebras
• MODULE AMENABILITY AND MODULE ARENS REGULARITY OF WEIGHTED SEMIGROUP ALGEBRAS
• On approximation of flat Banach modules by free modules
• Cohomology in Banach algebras
• The second duals of Beurling algebras