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About the application server if not do we have to install the application server
The default application server that people use is Apache Tomcat. Depending on the way you install Alfresco, you either have to install an application server yourself or it is already bundled in the chosen installer.
i wanted to install the alfresco community edition on some hosting server what are steps to that.
See the documentation for answers to the basic "how to install" question. If you are asking for steps for a specific web hosting service, then also check their documentation.