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- W3193990569 abstract "We study on the second cohomology of the module extension Banach algebra A⊕1X, where A is a Banach algebra and X is a Banach A-bimodule. We characterize the defined 2-cocycles and 2-coboundaries on A⊕1X and as an interesting result we show that when H2(A,A)=0, then H2(A⊕1A,A⊕1A)=QM(A), where QM(A) is the set of quasi-multipliers on A. Also, we give some examples related to vanishing and nonvanishing of the second cohomology of various module extensions of Banach algebras." @default.
- W3193990569 created "2021-08-30" @default.
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- W3193990569 date "2021-06-01" @default.
- W3193990569 modified "2023-09-27" @default.
- W3193990569 title "The second cohomology group of module extensions banach algebras" @default.
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- W3193990569 doi "https://doi.org/10.1216/rmj.2021.51.921" @default.
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