Most of the time the pages of your website are all coming from the Joomla Content component - Articles. By default in the JoomlaSEF system, the Url's created are mapped using the title alias value for the article. If the title alias is not available (an example being this article), the system will use the title instead. For this articles url we show the Multi-Site base /web/, the Section alias of /seo_news/ and the Category alias of /discussion/. Links to Sections and Categories are going to be the same format, without the article title as shown with the /web/seo_news/ section of this site.

Your home page by default is using the "frontpage" component, which you can specify a custom name for in the "Config > Components" area of JoomlaSEF by selecting the checkbox for "Use Alias" and entering the desired name into the text field. Example would be the word "home", which would cause your home page URL to be website.com/home/.

To have your home page URL simply be www.website.com/ without the home, all you need to do is create an alias in the "Manage Friendly URL's" section of JoomlaSEF that has only a / in the "Friendly URL" field. If you go to your home page first befoe doing this, then you should have an alias automatically created that you can edit, changing the /home/ value to simply a slash /.

Now your home page will look like this - http://www.joomlasef.org/ - and no redirection will occur.