Biprojectivty of Banach algebras modulo an ideal
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Abstract:
In this paper, we introduce the new concept of biprojectivity of a Banach algebra modulo an ideal, as a generalization of this notion in the classical case. By using it , we obtain some necessary and sufficient conditions for contractibility of Banach algebras modulo an ideal. In particular we characterize the contractibility of quotient Banach algebras. Also we study the relationship between the biprojectivity modulo an ideal of a Banach algebra and the biprojectivity of the corresponding quotient Banach algebra. ....
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Journal title
volume 5 issue 18
pages 21- 30
publication date 2019-05-01
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