Title : ( σ, γ− Generalized Dynamics on Modules )
Authors: M. Mosadeq , M. Hassani , Asadollah Niknam ,
Full TextAbstract
Abstract. In this paper we introduce the notions of generalized d− derivations, (, )− generalized module maps and (, )− generalized dynamics on Modules. We show that if \\\' : R ! B(M) is a − dynamics on Banach algebra A with the infinitesimal generator d and T : R ! B(M) is a (, )− generalized dynamics on Banach A− bimodule M with the infinitesimal generator , then is a generalized d− derivation. Using the computation formula for n(ax) and the concept of − one parameter groups on M, we prove the converse under some more restrictions on .
Keywords
, (inner) generalized d− derivation, (quasi inner) (, )− generalized module map, − one parameter group, (, )− generalized dynamics.
@article{paperid:1030230,
author = {M. Mosadeq and M. Hassani and Niknam, Asadollah},
title = {σ, γ− Generalized Dynamics on Modules},
journal = {Journal of Dynamical Systems and Geometric Theories},
year = {2011},
volume = {9},
number = {2},
month = {January},
issn = {1726-037X},
pages = {171--184},
numpages = {13},
keywords = {(inner) generalized d− derivation; (quasi inner) (;
)− generalized
module map; − one parameter group; (;
)− generalized dynamics.},
}
%0 Journal Article
%T σ, γ− Generalized Dynamics on Modules
%A M. Mosadeq
%A M. Hassani
%A Niknam, Asadollah
%J Journal of Dynamical Systems and Geometric Theories
%@ 1726-037X
%D 2011
