[Closed] How to save texture in photoshop without losing degraded?

[OLD AGE 03]

Hey guys.
I do not know how to explain my question very well, but I'll try my best.

anyone of you knows how to save an image for web and devices, with photoshop without changing the dithering or gradient (whatever you call it) that remains when I erase the edges to an image with transparent background?

for example:
as seen in the image, on the left this is how I would like that it remains the image,but nonetheless always changes as shown on the right, the same happens when you convert an RGB image to indexed

 

[Mazen Magdy]

change the second option of Brush Tool to 100%
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[honkytonkman]

if i have understood you want to have the "border" of the image in the trasparent picture without the thin "line" ..i have same problem..but it's usual,i think, when you create a image with trasparent background having a low poor thin line in the border of the image. i tried with several graphic tools but something stays always

 

[OLD AGE 03]

if i have understood you want to have the "border" of the image in the trasparent picture without the thin "line" ..i have same problem..but it's usual,i think, when you create a image with trasparent background having a low poor thin line in the border of the image. i tried with several graphic tools but something stays always

I found a tool called GIMP, I thought this would help me, so it says in its index,I downloaded a portable version, but i did not result as I expected, not helpful me at all but now I found another way, truly efficient without having to download other programs.
I will publish a small tutorial soon...