Remote access to mail program

At my organization most of us use Apple Mail to organize and manage our email. However when we are out and about, those of us who don't have laptops have to access our email through our web-based email which is really sloppy and doesn't filter junk mail. The web-based mail also doesn't have the old mail that we've sent or received, or the folders we've organized on our computers.

Is there anyway to remotely access our mail program?

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Communications