I disabled notifications and am still notified for new tickets; how to turn it off?

Those options enable/disable notifications for events within the community. Notifications about new tickets are sent via triggers.

You can delete or deactivate all default triggers to disable all notifications (perhaps you would want to leave the "Notify requester..." ones, which send notifications to your customers). You can do that on the Settings > Triggers page in the Admin Panel.

If you would need to recover default triggers at any point in the future, simply press Reset to Default on that page.

perfect, thanks!

The setting that you described are on a company level. I'm a company member (the CEO) and would like to login to the system know and then to see the situation with tickets. I'm not interested in getting notifications for the each request. Where can I change the settings, so that I don't get notifications for new tickets, but nevertheless the person responding does get the notification?

André, you just need to enable automatic ticket assignment. Learn more: Auto-assigning tickets to agents