I installed trial version of Fireworks at my home with internet connection. At that time I log in Adobe page and leave my profile. Then I can open the soft, but I coud't when I try to use Fireworks without internet connection environment. Am I suppose to always have the Internet connection for trial use? Is there any difference if I purchased software?
To the best of my knowledge, an internet connection is not required in order to use a trial version of Fireworks—except for perhaps when installing the software or completing an initial account setup. It certainly isn't required for purchased software.
For more information about trial downloads (as well as the Adobe Creative Cloud), try these resources: