Santa Claus (in the US) and Ded Moroz (in Russia) are similar characters, but they are different. If I was to translate the name "Ded Moroz", I would probably say "Grandfather Frost". (I am an American living in Russia.)

Hello again! You can probably say "Ded Moroz" but I don't know if everyone reading it will understand what it is. I'd say you can because that is your culture and if you use it right in an English context, I don't see any problem with that ;)

so, Jerry... What is better "Ded Moroz" or "Grandfether Frost"?

Who says we don't translate names?

but if we say "Ded Moroz" is name, and we don't translate names.... should we say "Grandfather Frost"?