%0 Journal Article
%T Arens regularity and derivations of Hilbert modules with the certain product
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Sahleh, A.
%A Najarpisheh, L.
%D 2013
%\ 11/01/2013
%V 1
%N 1
%P 31-39
%! Arens regularity and derivations of Hilbert modules with the certain product
%K C^{*}
%K $C^*$-algebra
%K algebra
%K Hilbert $C^*$-module
%K Banach algebra
%K Hilbert C^{*}
%K Arens regular
%K module
%K Derivation
%R
%X Let $A$ be a $C^*$-algebra and $E$ be a left Hilbert $A$-module. In this paper we define a product on $E$ that making it into a Banach algebra and show that under the certain conditions $E$ is Arens regular. We also study the relationship between derivations of $A$ and $E$.
%U https://jart.guilan.ac.ir/article_43_c935ff4a35e1d9bcd1ab677e11c33519.pdf