# On (Co)homology of triangular Banach algebras

Banach Center Publications (2005)

- Volume: 67, Issue: 1, page 271-276
- ISSN: 0137-6934

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topMohammad Sal Moslehian. "On (Co)homology of triangular Banach algebras." Banach Center Publications 67.1 (2005): 271-276. <http://eudml.org/doc/282114>.

@article{MohammadSalMoslehian2005,

abstract = {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, $ = \begin\{bmatrix\} A & M \\ 0 & B\end\{bmatrix\}$ is the triangular Banach algebra, X is a unital -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, , X, $X_\{AA\}$, $X_\{BB\}$, $X_\{AB\}$ and $X_\{BA\}$ we establish some results on (co)homology of triangular Banach algebras.},

author = {Mohammad Sal Moslehian},

journal = {Banach Center Publications},

keywords = {triangular Banach algebra; cohomology groups; homology groups; projective module; Ext functor; Tor functor},

language = {eng},

number = {1},

pages = {271-276},

title = {On (Co)homology of triangular Banach algebras},

url = {http://eudml.org/doc/282114},

volume = {67},

year = {2005},

}

TY - JOUR

AU - Mohammad Sal Moslehian

TI - On (Co)homology of triangular Banach algebras

JO - Banach Center Publications

PY - 2005

VL - 67

IS - 1

SP - 271

EP - 276

AB - 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, $ = \begin{bmatrix} A & M \\ 0 & B\end{bmatrix}$ is the triangular Banach algebra, X is a unital -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, , X, $X_{AA}$, $X_{BB}$, $X_{AB}$ and $X_{BA}$ we establish some results on (co)homology of triangular Banach algebras.

LA - eng

KW - triangular Banach algebra; cohomology groups; homology groups; projective module; Ext functor; Tor functor

UR - http://eudml.org/doc/282114

ER -

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