A system for processing electronic messages with - a first communication module and at least one interface module (113a, 113b, 113c), which are arranged on a first communication device, which is assigned to a first user, whereby the first communication module can send and receive electronic messages of the first user via an interface module (113a, 113b, 113c) and a global server (114a, 114b, 114c) assigned to the interface module (113a, 113b, 113c), - a first terminal device module (119a, 119b), which is arranged on a first terminal device (120a, 120b) assigned to the first user that is separate from the first communication device and which is intended to provide the first user with specific electronic messages for the first user and to receive electronic messages to be sent from the first user, whereby there is a communication link between the first communication module of the first communication device and the first terminal device module (119a, 119b) of the first terminal device (120a, 120b) and the first communication module of the first communication device is provided to transmit received electronic messages to the first terminal device module (119a, 119b) and the first terminal device module (119a, 119b) is provided to send electronic messages to be sent to the first communication module, characterized by an exchange module, which is provided to process electronic messages from a large number of users (115, 135), whereby each user (115, 135) is assigned a communication device (111, 131) with an interface module (113a, 113b, 113c; 133a, 133b, 133c) and a terminal device (120a, 120b; 140a, 140b) with a terminal device module (119a, 119b; 139a, 139b), and which is arranged on a server separate from the communication devices (111, 131) and the end devices (120a, 120b; 140a, 140b), with which the communication modules (112, 132) of the communication devices (111, 131) and the terminal device modules (119a, 119b; 139a, 139b) of the terminal devices (120a, 120b; 140a, 140b) communicate and are provided to transmit via a communication module (112, 132) of a communication device (111, 131) the received electronic messages to be sent to the corresponding terminal device module (119a, 119b; 139a, 139b) and the electronic messages to be sent from a terminal device module (119a, 119b; 139a, 139b) to the corresponding communication module (112, 132), and the communication modules (112, 132), the terminal device modules (119a, 119b; 139a, 139b), and the exchange module are provided to transmit a part of an electronic message, especially a part of the electronic message only available in encrypted form, between the communication modules (112, 132), the exchange module, and the terminal device modules (119a, 119b; 139a, 139b), whereby encryption of said part of the electronic message uses a public key and a private key and the exchange module only has access to the public key. - a first communication module and at least one interface module (113a, 113b, 113c), which are arranged on a first communication device, which is assigned to a first user, whereby the first communication module can send and receive electronic messages of the first user via an interface module (113a, 113b, 113c) and a global server (114a, 114b, 114c) assigned to the interface module (113a, 113b, 113c), - a first terminal device module (119a, 119b), which is arranged on a first terminal device (120a, 120b) assigned to the first user that is separate from the first communication device and which is intended to provide the first user with specific electronic messages for the first user and to receive electronic messages to be sent from the first user,