On (Co)homology of triangular Banach algebras

• Autorzy: Mohammad Sal Moslehian
• Języki publikacji: EN

Abstrakty

EN

Suppose that A and B are unital Banach algebras with units $1_{A}$ and $1_{B}$, respectively, M is a unital Banach A,B-module, $𝓣 = \begin{bmatrix} A & M \\ 0 & B\end{bmatrix}$ is the triangular Banach algebra, X is a unital 𝓣-bimodule, $X_{AA} = 1_{A}X1_{A}$, $X_{BB} = 1_{B}X1_{B}$, $X_{AB} = 1_{A}X1_{B}$ and $X_{BA} = 1_{B}X1_{A}$. Applying two nice long exact sequences related to A, B, 𝓣, X, $X_{AA}$, $X_{BB}$, $X_{AB}$ and $X_{BA}$ we establish some results on (co)homology of triangular Banach algebras.

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 46M18: Homological methods (exact sequences, right inverses, lifting, etc.)
• 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 67
• Numer: 1
• Strony: 271-276

Daty

wydano

2005

Twórcy

autor

Mohammad Sal Moslehian

• Ferdowsi University of Mashhad and, Institute for Studies in, Theoretical Physics and Mathematics (IPM), Iran

Identyfikatory

DOI

10.4064/bc67-0-22