Some notes on the topological centers of module actions


1 Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

2 Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran

3 Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran


In this paper, we extend some propositions of Banach
algebras into module actions and establish the relationships between
topological centers of module actions. We introduce some newconcepts as


-property and

-property for Banach modules and obtain some conclusions in
the topological center of module actions and Arens regularity of Banach