TY - JOUR ID - 387 TI - Topological centers of the n-th dual of module actions JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Haghnejad Azar, K. AU - Riazi, A. AD - University of Mohghegh Ardabili AD - Amirkabir University of Technology Y1 - 2012 PY - 2012 VL - 38 IS - 1 SP - 1 EP - 16 KW - Arens regularity KW - bilinear mapping KW - topological center DO - N2 - We study the topological centers of $nth$ dual of Banach $mathcal{A}$-modules and we extend some propositions from Lau and "{U}lger into $n-th$ dual of Banach $mathcal{A}-modules$ where $ngeq 0$ is even number. Let   $mathcal{B}$   be a Banach  $mathcal{A}-bimodule$. By using some new conditions, we show that $ Z^ell_{mathcal{A}^{(n)}}(mathcal{B}^{(n)})=mathcal{B}^{(n)}$ and $ Z^ell_{mathcal{B}^{(n)}}(mathcal{A}^{(n)})=mathcal{A}^{(n)}$. We get some conclusions on  group algebras. UR - http://bims.iranjournals.ir/article_387.html L1 - http://bims.iranjournals.ir/article_387_cd1a28bd46a6adf2fd6bf0a3fd1322c3.pdf ER -