LetAandB beA∗∗-biprojection (φ-A∗∗-biprojection) andB∗∗- biprojection (ψ-B∗∗-biprojection) Banach algebras, respectively in which, φ and ψ are non-zero multiplication linear functionals on A and B, respectively. In this paper, we investigate the relation of properties which are heriditaried from A and B Banach algebras to the projective tensor product ofAb B with the related cohomology notions such left (right) φ ψ-amenability of Ab B. In particular, we investigate the heriditary properties of (Ab B)∗∗- biprojective and φ ψ-(Ab B)∗∗-biprojective of Banach algebra Ab B and we present some examples in this direction.
Tamimi, E. (2026). The second dual-biprojective of projective tensor Banach algebras
and their relation with the notions of related cohomology. Journal of Advanced Mathematical Modeling, 16(1), 145–163. https://doi.org/10.22055/jamm.2026.50653.2414
MLA
Tamimi, E. "The second dual-biprojective of projective tensor Banach algebras
and their relation with the notions of related cohomology", Journal of Advanced Mathematical Modeling, 16, 1, 2026, 145–163. doi: 10.22055/jamm.2026.50653.2414
HARVARD
Tamimi, E. (2026). 'The second dual-biprojective of projective tensor Banach algebras
and their relation with the notions of related cohomology', Journal of Advanced Mathematical Modeling, 16(1), pp. 145–163. doi: 10.22055/jamm.2026.50653.2414
CHICAGO
Tamimi, E., "The second dual-biprojective of projective tensor Banach algebras
and their relation with the notions of related cohomology." Journal of Advanced Mathematical Modeling, 16 1 (2026): 145–163, doi: 10.22055/jamm.2026.50653.2414
VANCOUVER
Tamimi E. The second dual-biprojective of projective tensor Banach algebras
and their relation with the notions of related cohomology. JAMM. 2026;16(1):145–163 (In Persian). doi: 10.22055/jamm.2026.50653.2414