SSH + PowerShell, how to save variable values ​​between command calls?

Question

PowerShell

Installed OpenSSH Server on a remote machine with Windows 10, configured it to work through PowerShell instead of Cmd, everything works fine, but now it was necessary to execute not a separate command, but a small script in which variables must be used. This code in one line works: $v = "Hello"; Write-Host $v, but if you send separately $v = "Hello"and Write-Host $v- then it doesn’t, because $v does not save the value between separate commands.

I know that PowerShell has commands like `New-Session`, but as far as I understand, they need to be used on the machine from which you connect, despite the fact that you need to connect from PowerShell. And I connect using SSH, and, apparently, this magic is not available here. Correct me if I'm wrong.