Title of article :
Metrically Homological Properties and Some Notions of Amenability
Author/Authors :
Mansouri Kohestani ، Parva Department of Mathematics - Faculty of Scienc - Azarbaijan Shahid Madani University , Hossein Sattari ، Mohammad Department of Mathematics - Faculty of Science - Azarbaijan Shahid Madani University , Soltani Renani ، Sima Department of Mathematics - Faculty of Science - Isfahan University of Technology
Abstract :
For a Banach algebra A and a norm one character φ on A, we characterize φ- amenability and φ-contractibility of A in terms of metrically homological properties of some Banach A-modules. Also, for any Banach A-module, metrically injectivity and projectivity of submodules and quotient modules are investigated. Finally, we give some results on metrically injectivity of A∗ and its submodules.
Keywords :
Banach algebra , Banach module , Metrically projective , Metrically injective , φ−amenable
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
