[applestreudels]

I have a Galaxy S4 on T-Mobile. I work in an environment that gets no cell service and am looking for a way to receive and send SMS and MMS via browser or email.
So far I've only come across Google Voice as an answer, but using a new google number is not exactly what I'm looking for/even when I tried to set it up out of desperation, I was having some errors on setup.
Are there settings on the S4 or maybe apps that would get me this function?
Thanks.
UPDATE: Apologies if I wasn't clearer. I'd like to send and receive SMS and MMS via DESKTOP browser or email.

[Rukbat]

SMS is a 2G phone function, so you can't send an SMS without cell service. (MMS is just an SMS with a link to a file sitting on a server somewhere.) There are apps that allow you to send and receive text messages to and from others - but they have to be using the same app.

What you're asking for (since it uses the same path) is the ability to make and receive phone calls without cell service. Skype (if you disregard the paid "call to a telephone" part, would work - if the other party had Skype. Same with SMS.

Google Voice is about your only option, AFAIK, for actual SMS at the moment. (Hangouts is text messaging, but not SMS.)

[applestreudels]

Thanks for the reply. I think I was a little unclear in my question, although your response had a lot of the information I was looking for. I am hoping that there's something that will enable me to send/receive SMS and/or MMS via desktop.

[gone down south]

Easy to do.... Unless you want to use your carrier phone number, in which case it's impossible.

The only exception is if you're using a Motorola phone, their Connect app makes it work.

[Rukbat]

I am hoping that there's something that will enable me to send/receive SMS and/or MMS via desktop.

By itself, no, because you need a phone dongle. But with the phone connected to the desktop, you can use MyPhoneExplorer Client.