We continue [8] and we discuss approximately left $\phi$-biprojectivity for $\theta$-Lau product algebras. We give some Banach algebras among the category of $\theta$-Lau product algebras which are not approximately left $\phi$-biprojective. In fact, some class of matrix algebras under the notion of approximate left $\phi$-biprojectivity is also discussed here.
P. Aghababa, L. Y. Shi, and Y. J. Wu, Generalized notions of character amenability, Acta Math. Sin. (Engl. Ser.), 29 (2013), pp. 1329–1350.
Askari-Sayah, A. Pourabbas, and A. Sahami, Johnson pseudo-contractibility and pseudo-amenability of θ-Lau product, Kragujevac J. Math., 44 (2020), pp. 593–601.
Kaniuth, A. T. Lau, and J. Pym, On ϕ-amenability of Banach algebras, Math. Proc. Cambridge Philos. Soc., 144 (2008), pp. 85–96.
T. M. Lau, Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups, Fund. Math., 118 (1983), pp. 161–175.
S. Monfared, On certain products of Banach algebras with applications to harmonic analysis, Studia Math., 178 (2007), pp. 277–294.
Runde, Lectures on amenability, vol. 1774 of Lecture Notes in Mathematics, Springer-Verlag, Berlin, 2002.
Sahami, On biflatness and ϕ-biflatness of some Banach algebras, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys., 80 (2018), pp. 111–122.
Sahami and A. Pourabbas, On approximate left ϕ-biprojective Banach algebras, Glas. Mat. Ser. III, 53(73) (2018), pp. 187–203.
Zhang, Nilpotent ideals in a class of Banach algebras, Proc. Amer. Math. Soc., 127 (1999), pp. 3237–3242.
Babayi,S. , Rostami,M. , Aj,M. and Sahami,A. (2024). Approximate left $\phi$-biprojectivity of $\theta$-Lau product algebras. AUT Journal of Mathematics and Computing, 5(2), 111-116. doi: 10.22060/ajmc.2022.21637.1093
MLA
Babayi,S. , , Rostami,M. , , Aj,M. , and Sahami,A. . "Approximate left $\phi$-biprojectivity of $\theta$-Lau product algebras", AUT Journal of Mathematics and Computing, 5, 2, 2024, 111-116. doi: 10.22060/ajmc.2022.21637.1093
HARVARD
Babayi S., Rostami M., Aj M., Sahami A. (2024). 'Approximate left $\phi$-biprojectivity of $\theta$-Lau product algebras', AUT Journal of Mathematics and Computing, 5(2), pp. 111-116. doi: 10.22060/ajmc.2022.21637.1093
CHICAGO
S. Babayi, M. Rostami, M. Aj and A. Sahami, "Approximate left $\phi$-biprojectivity of $\theta$-Lau product algebras," AUT Journal of Mathematics and Computing, 5 2 (2024): 111-116, doi: 10.22060/ajmc.2022.21637.1093
VANCOUVER
Babayi S., Rostami M., Aj M., Sahami A. Approximate left $\phi$-biprojectivity of $\theta$-Lau product algebras. AUT J Math Comput, 2024; 5(2): 111-116. doi: 10.22060/ajmc.2022.21637.1093
