Get-ChildItem BaseName returing @{} in value

Question

A folder contains a number of encrypted files named like...SB_SeminoleCounty_Dispatch_1.bak.gpg.  I need the base file name without the.gpg extension.
If I execute the this command in powershell I get the expected value
PS L:\SQLServerBackupFile> gci .\SB_SeminoleCounty_Dispatch_1.bak.gpg  | select basename
BaseName
SB_SeminoleCounty_Dispatch_1.bak
I am trying to retrieve the same information in my script
..some code..
$fileDirectory  = 'L:\SQLServerBackupFile'
foreach($file in Get-ChildItem $fileDirectory | where {! $_.PSIsContainer} | Sort-Object name -unique )
$DecryptedFileName = Get-ChildItem $fileDirectory\$file | select {$_.BaseName}
Write-Host "Base file name: " $DecryptedFileName
The output is:
Base file name:  @{$_.basename=SB_SeminoleCounty_Dispatch_1.bak}
How can I get just the value of the file name ..SB_SeminoleCounty_Dispatch_1.bak without @{$_.basename=..}?
Of course, I am sure there is a better alternative so any suggestions are appreciated.
Thanks

Answer 1

This works.  I was not sure if you intended for me to modify my original statement  foreach($file in Get-ChildItem $fileDirectory..
I was trying to retrieve information with my original code and might be able to replace my foreach with your logic.  I did not want to try too many things until I fixed my original question.  But your construct is very helpful.
I added your suggestion into the current foreach and it works. 
I will comment on the other two posts.  Their suggestion worked with a slight modification
$DecryptedFileName = $file.BaseName
I like this command because it is one line.  I actually tried calling $file.FullName oreviously, but it did not work.  I must have had something else wrong.  I am just learning powershell.
Thanks for your feedback.