What version of Premiere Elements is involved in your question? Be that as it may....
If your purchase of Premiere Elements was via the box packaging then you have an installation disc for the program on Windows and another installation disc for the program on Mac. No problem.
But, if you purchased the program as an download, you purchased only the version specific to the computer operating system to which it was downloaded.
Consequently, if you purchased Premiere Elements as download to your Windows computer, you will need to purchase Premiere Elements Mac for the Mac computer.
This is not Adobe. Rather a user to user forum. You can confirm the above with Adobe Sales. But what is described above is the way that is has been.
You made my day and Christmas - thank you.
Yes I bought Version 10 DVD Box set and just checked that I have Mac OS Disk.
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We are thankful for the box packaging where you get 2 installation discs, one for Windows and one for Mac.
Great idea by Adobe marketing on that. But, yet Adobe direct sells only the download specific to your computer operating system.
Best wishes as you move forward with your Premiere Elements projects.