When we say "art-name," we are talking about the name that an artist gives to their artwork, just like a person has a name. This name helps people identify and remember the artwork, just like how your name helps people remember who you are.
Sometimes, artists choose a very descriptive name for their artwork that tells you what it's about. For example, a painting of a flower might be called "Red Rose in a Field." Other times, artists might choose a name that is more abstract and doesn't directly relate to what you see in the artwork. This is because the artist might want to give the artwork a deeper meaning or feeling that they hope you will experience when you look at it.
In the end, the art-name is a special and important part of the artwork. It helps the artist express themselves and communicate with the people who look at their art.