Problem with SSL (Newbie with SSL)

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I have site under two domains: / /

1. Some one has get this warning.

  "- The server's name "" does not match the
certificate's name "". Somebody may be trying to
eavesdrop on you."

2. With Microsoft Internet Exploder comes always a message that asks: "-
Do you want go to area where is both secured and unsecured".

3. With FireFox everyting works fine and only a one time must pres a
button 'yes' and then never come question do you want to go secured area.

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