Journal of Advanced Mathematical Modeling

Journal of Advanced Mathematical Modeling

The second dual-biprojective of projective tensor Banach algebras and their relation with the notions of related cohomology

Document Type : Original Paper

Author
Department of mathematics and Statistics -Velayat University-Iranshahr- Iran
Abstract
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.
Keywords
Subjects

  • Receive Date 28 September 2025
  • Revise Date 27 November 2025
  • Accept Date 30 June 2026