Nu vin niciodata pentru ca nu au cum. Aplicatia mail de iOS ruleaza tot timpul in background, de aceea ai si notificarile active. E diferita fata de cea de OS X.

Incearca totusi asta: Open Mail, and close it with the red dot (or command+w). So the blue point under the icon in the Dock is still there. So you have no window open but mail is still getting emails.
Nu cred, sau nu stiu eu inca sa exista vreun fix la problema cu mail notification..