Biprojectivty of Banach algebras modulo an ideal

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GHORBANI M.; RAHIMI H.R.

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Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2019 | Volume:5 | Issue:18 Page(s): 21-30

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Title

Biprojectivty of Banach algebras modulo an ideal

Author(s)

GHORBANI M. | RAHIMI H.R. | Issue Writer Certificate

Keywords

Biprotectivity momulo an idealQ1

contractibility modulo an idealQ1

semigroup algebraQ1

group congruenceQ1

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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APA: Copy

GHORBANI, M., & RAHIMI, H.R.. (2019). Biprojectivty of Banach algebras modulo an ideal. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 5(18 ), 21-30. SID. https://sid.ir/paper/371248/en

Vancouver: Copy

GHORBANI M., RAHIMI H.R.. Biprojectivty of Banach algebras modulo an ideal. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2019;5(18 ):21-30. Available from: https://sid.ir/paper/371248/en

IEEE: Copy

M. GHORBANI, and H.R. RAHIMI, “Biprojectivty of Banach algebras modulo an ideal,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 5, no. 18 , pp. 21–30, 2019, [Online]. Available: https://sid.ir/paper/371248/en

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