ibmjdk1.6免安装版,Java Software | Oracle
What you've shown looks to be the "Developer Kits" provided through IBM developerWorks for development use.
For IBM Java SDKs that work with WebSphere Application Server, you would obtain them as part of your WebSphere Application Server packages.
Here is links to the download documents:WAS v8.0WAS v8.5.5
You can find the parts that you need and follow the instructions to download them from Passport Advantage Online.
Note that Java SDK v6 comes embedded with WAS v8.0 and v8.5.5. So there is not a separate install for it -- You get it when you have WAS (classic) installed.WAS v8.5.5 comes with other choices for Java SDK that you can optionally install e.g. Java SDK v7.
More information is available in WAS Knowledge Center:WAS v8.0WAS v8.5.5