Michael REMY wrote:
because the extension is already displayed in the icon ! so, i don't need to extend the column by adding duplicate information !
Lets be sure we are talking about the same icons.
Windows calls these Icons whereas I call them thumbnails
Is this what you are talking about when you say the extension .JPG is a duplication and extends the column?
Or this when you ask windows to show details:

- 02icondetails.jpg (49.62 KiB) Viewed 1219 times
Here all my normal graphics files are associated with Irfanview so png, gif, tif, bmp, and jpg will all show the same icon.
Now is this what you are referring to in your other quote - about icons remaining the same whereas the file type is different and you are requesting that PSP adapt itself to show the extension type.
Michael REMY wrote: in your exemple, we can see the icon remain the same whereas the format is different.
At least, PSP should adapt the icon to the format !
If the icon in the window bar of each image is the same, what is its utility ?
The utility of having the icon the same is that it shows what program can or will open that file - it does not identify the file type - jpg, gif, png etc. That is what the extension is for and needed,
Now as for showing the extension in PSP that really shows the source file that produced the PSP image that you see.
When in memory all images are bit mapped files with red, green and blue and possibly an alpha transparency channel if not a Background image
So an image that you load from a jpg source > Bitmapped image in memory and when you save it it can become > .pspimage, .jpg, .bmp, .tif on disk.
So you decide what any bitmapped image can become by changing the image - reducing the number of colors when you save it as a gif, converting to a greyscale image etc.
So if you loaded a bmp image and then saved it as a jpg, you could also load that pg and save it as a tif. It is all very malleable and possibly makes your original complaint totally redundant.
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