In this paper we study the module contractibility of Banach algebras and characterize them in terms the concepts splitting and admissibility of short exact sequences. Also we investigate module contractibility of Banach algebras with the concept of the module diagonal.
M. Amini, Module amenability for semigroup algebras, Semigroup Forum 69 (2004), 243–254.
M. Amini, Corrigendum, Module amenability for semigroup algebras, Semigroup Forum 72 (2006), 493.
M. Amini, A. Bodaghi and D. Ebrahimi Bagha, Module amenability of the second dual and module topological center of semigroup algebras, arxiv:0912.4003 V1.
A. Bodaghi and M. Amini, Module super amenability for semigroup algebras, arxiv:0912.4624 V1.
F. F. Bonsall, J. Duncan, Complete Normed Algebra, Springer-Verlag, Berlin-Heidelberg-New York, 1973.
H. G. Dales, Banach Algebras and Automatic Continuity, Oxford University Press, Oxford, 2000.
J. Duncan, I. Namioka, Amenability of inverse semigroups and their semigroup algebras, Proc. Roy. Soc. Edinburgh 80A (1988), 309–321.
A. Ya. Helemskii, The homology of Banach and topological algebras, Kluwer Academic Publishers, Dordrecht, 1986.
S. A. Hosseiniun and D. Ebrahimi Bagha, The structure of Module amenable Banach algebras, Inter. Math Forum, 2, (2007), no. 5, 237–241.
J. M. Howie, An Introduction to Semigroup Theory, Academic Press, London, 1976.
B. E. Johnson, Cohomology in Banach Algebras, Memoirs Amer. Math. Soc. 127, American Mathematical Society, Providence, 1972.
M.A.Rieffel, Induced Banach representations of Banach algebras and locally compact groups, J. Funct. Anal. 1 (1967), 443–491.
V. Runde, Lectures on Amenability , Lecture Notes in Mathematics 1774, Springer-Verlag, Berlin-Heidelberg-New York, 2002.
Bodaghi,A . (2010). The structure of module contractible Banach algebras. International Journal of Nonlinear Analysis and Applications, 1(1), 6-11. doi: 10.22075/ijnaa.2010.63
MLA
Bodaghi,A . "The structure of module contractible Banach algebras", International Journal of Nonlinear Analysis and Applications, 1, 1, 2010, 6-11. doi: 10.22075/ijnaa.2010.63
HARVARD
Bodaghi A. (2010). 'The structure of module contractible Banach algebras', International Journal of Nonlinear Analysis and Applications, 1(1), pp. 6-11. doi: 10.22075/ijnaa.2010.63
CHICAGO
A Bodaghi, "The structure of module contractible Banach algebras," International Journal of Nonlinear Analysis and Applications, 1 1 (2010): 6-11, doi: 10.22075/ijnaa.2010.63
VANCOUVER
Bodaghi A. The structure of module contractible Banach algebras. IJNAA. 2010;1(1):6-11. doi: 10.22075/ijnaa.2010.63
International Journal of Nonlinear Analysis and Applications